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Finding the Third Proportional to 176,909 and 264,715

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Solution

The third proportional to 176,909 and 264,715 is: 396,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,909 : 264,715 = 264,715 : x
  2. Step 2: Convert to fraction form
    176,909/264,715 = 264,715/x
  3. Step 3: Cross multiply
    176,909x = 264,715 × 264,715
  4. Step 4: Simplify right side
    176,909x = 70,074,031,225
  5. Step 5: Solve for x
    x = 70,074,031,225/176,909
  6. Step 6: Final answer
    x = 396,102.13

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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.