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Finding the Third Proportional to 157,566 and 236,466

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Solution

The third proportional to 157,566 and 236,466 is: 354,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,566 : 236,466 = 236,466 : x
  2. Step 2: Convert to fraction form
    157,566/236,466 = 236,466/x
  3. Step 3: Cross multiply
    157,566x = 236,466 × 236,466
  4. Step 4: Simplify right side
    157,566x = 55,916,169,156
  5. Step 5: Solve for x
    x = 55,916,169,156/157,566
  6. Step 6: Final answer
    x = 354,874.59

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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.