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Finding the Third Proportional to 157,603 and 236,566

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Solution

The third proportional to 157,603 and 236,566 is: 355,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,603 : 236,566 = 236,566 : x
  2. Step 2: Convert to fraction form
    157,603/236,566 = 236,566/x
  3. Step 3: Cross multiply
    157,603x = 236,566 × 236,566
  4. Step 4: Simplify right side
    157,603x = 55,963,472,356
  5. Step 5: Solve for x
    x = 55,963,472,356/157,603
  6. Step 6: Final answer
    x = 355,091.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.