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Finding the Third Proportional to 177,429 and 383,001

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Solution

The third proportional to 177,429 and 383,001 is: 826,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,429 : 383,001 = 383,001 : x
  2. Step 2: Convert to fraction form
    177,429/383,001 = 383,001/x
  3. Step 3: Cross multiply
    177,429x = 383,001 × 383,001
  4. Step 4: Simplify right side
    177,429x = 146,689,766,001
  5. Step 5: Solve for x
    x = 146,689,766,001/177,429
  6. Step 6: Final answer
    x = 826,751.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.