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Finding the Third Proportional to 177,342 and 260,829

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Solution

The third proportional to 177,342 and 260,829 is: 383,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,342 : 260,829 = 260,829 : x
  2. Step 2: Convert to fraction form
    177,342/260,829 = 260,829/x
  3. Step 3: Cross multiply
    177,342x = 260,829 × 260,829
  4. Step 4: Simplify right side
    177,342x = 68,031,767,241
  5. Step 5: Solve for x
    x = 68,031,767,241/177,342
  6. Step 6: Final answer
    x = 383,619.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.