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Finding the Third Proportional to 176,564 and 266,496

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Solution

The third proportional to 176,564 and 266,496 is: 402,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564 : 266,496 = 266,496 : x
  2. Step 2: Convert to fraction form
    176,564/266,496 = 266,496/x
  3. Step 3: Cross multiply
    176,564x = 266,496 × 266,496
  4. Step 4: Simplify right side
    176,564x = 71,020,118,016
  5. Step 5: Solve for x
    x = 71,020,118,016/176,564
  6. Step 6: Final answer
    x = 402,234.42

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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.