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Finding the Third Proportional to 237,566 and 356,661

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Solution

The third proportional to 237,566 and 356,661 is: 535,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,566 : 356,661 = 356,661 : x
  2. Step 2: Convert to fraction form
    237,566/356,661 = 356,661/x
  3. Step 3: Cross multiply
    237,566x = 356,661 × 356,661
  4. Step 4: Simplify right side
    237,566x = 127,207,068,921
  5. Step 5: Solve for x
    x = 127,207,068,921/237,566
  6. Step 6: Final answer
    x = 535,459.91

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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.