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Finding the Third Proportional to 248,102.75 and 538,214.25

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Solution

The third proportional to 248,102.75 and 538,214.25 is: 1,167,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,102.75 : 538,214.25 = 538,214.25 : x
  2. Step 2: Convert to fraction form
    248,102.75/538,214.25 = 538,214.25/x
  3. Step 3: Cross multiply
    248,102.75x = 538,214.25 × 538,214.25
  4. Step 4: Simplify right side
    248,102.75x = 289,674,578,903.06
  5. Step 5: Solve for x
    x = 289,674,578,903.06/248,102.75
  6. Step 6: Final answer
    x = 1,167,558.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.