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Finding the Third Proportional to 176,592 and 266,508

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Solution

The third proportional to 176,592 and 266,508 is: 402,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,592 : 266,508 = 266,508 : x
  2. Step 2: Convert to fraction form
    176,592/266,508 = 266,508/x
  3. Step 3: Cross multiply
    176,592x = 266,508 × 266,508
  4. Step 4: Simplify right side
    176,592x = 71,026,514,064
  5. Step 5: Solve for x
    x = 71,026,514,064/176,592
  6. Step 6: Final answer
    x = 402,206.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.