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Finding the Third Proportional to 176,920 and 264,730

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Solution

The third proportional to 176,920 and 264,730 is: 396,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,920 : 264,730 = 264,730 : x
  2. Step 2: Convert to fraction form
    176,920/264,730 = 264,730/x
  3. Step 3: Cross multiply
    176,920x = 264,730 × 264,730
  4. Step 4: Simplify right side
    176,920x = 70,081,972,900
  5. Step 5: Solve for x
    x = 70,081,972,900/176,920
  6. Step 6: Final answer
    x = 396,122.39

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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.