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Finding the Third Proportional to 176,331 and 264,897

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Solution

The third proportional to 176,331 and 264,897 is: 397,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,331 : 264,897 = 264,897 : x
  2. Step 2: Convert to fraction form
    176,331/264,897 = 264,897/x
  3. Step 3: Cross multiply
    176,331x = 264,897 × 264,897
  4. Step 4: Simplify right side
    176,331x = 70,170,420,609
  5. Step 5: Solve for x
    x = 70,170,420,609/176,331
  6. Step 6: Final answer
    x = 397,947.16

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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.