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Finding the Third Proportional to 237,088 and 363,551

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Solution

The third proportional to 237,088 and 363,551 is: 557,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,088 : 363,551 = 363,551 : x
  2. Step 2: Convert to fraction form
    237,088/363,551 = 363,551/x
  3. Step 3: Cross multiply
    237,088x = 363,551 × 363,551
  4. Step 4: Simplify right side
    237,088x = 132,169,329,601
  5. Step 5: Solve for x
    x = 132,169,329,601/237,088
  6. Step 6: Final answer
    x = 557,469.50

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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.