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Finding the Third Proportional to 248,106 and 538,222

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Solution

The third proportional to 248,106 and 538,222 is: 1,167,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,106 : 538,222 = 538,222 : x
  2. Step 2: Convert to fraction form
    248,106/538,222 = 538,222/x
  3. Step 3: Cross multiply
    248,106x = 538,222 × 538,222
  4. Step 4: Simplify right side
    248,106x = 289,682,921,284
  5. Step 5: Solve for x
    x = 289,682,921,284/248,106
  6. Step 6: Final answer
    x = 1,167,577.25

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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.