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Finding the Third Proportional to 157,866 and 241,498

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Solution

The third proportional to 157,866 and 241,498 is: 369,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,866 : 241,498 = 241,498 : x
  2. Step 2: Convert to fraction form
    157,866/241,498 = 241,498/x
  3. Step 3: Cross multiply
    157,866x = 241,498 × 241,498
  4. Step 4: Simplify right side
    157,866x = 58,321,284,004
  5. Step 5: Solve for x
    x = 58,321,284,004/157,866
  6. Step 6: Final answer
    x = 369,435.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.