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Finding the Third Proportional to 248,102 and 538,213

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Solution

The third proportional to 248,102 and 538,213 is: 1,167,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,102 : 538,213 = 538,213 : x
  2. Step 2: Convert to fraction form
    248,102/538,213 = 538,213/x
  3. Step 3: Cross multiply
    248,102x = 538,213 × 538,213
  4. Step 4: Simplify right side
    248,102x = 289,673,233,369
  5. Step 5: Solve for x
    x = 289,673,233,369/248,102
  6. Step 6: Final answer
    x = 1,167,557.03

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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.