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Finding the Third Proportional to 176,918 and 264,727

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Solution

The third proportional to 176,918 and 264,727 is: 396,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,918 : 264,727 = 264,727 : x
  2. Step 2: Convert to fraction form
    176,918/264,727 = 264,727/x
  3. Step 3: Cross multiply
    176,918x = 264,727 × 264,727
  4. Step 4: Simplify right side
    176,918x = 70,080,384,529
  5. Step 5: Solve for x
    x = 70,080,384,529/176,918
  6. Step 6: Final answer
    x = 396,117.89

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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.