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Finding the Third Proportional to 157,016 and 242,581

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Solution

The third proportional to 157,016 and 242,581 is: 374,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,016 : 242,581 = 242,581 : x
  2. Step 2: Convert to fraction form
    157,016/242,581 = 242,581/x
  3. Step 3: Cross multiply
    157,016x = 242,581 × 242,581
  4. Step 4: Simplify right side
    157,016x = 58,845,541,561
  5. Step 5: Solve for x
    x = 58,845,541,561/157,016
  6. Step 6: Final answer
    x = 374,774.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.