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Finding the Third Proportional to 80,260.50 and 170,829

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Solution

The third proportional to 80,260.50 and 170,829 is: 363,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,260.50 : 170,829 = 170,829 : x
  2. Step 2: Convert to fraction form
    80,260.50/170,829 = 170,829/x
  3. Step 3: Cross multiply
    80,260.50x = 170,829 × 170,829
  4. Step 4: Simplify right side
    80,260.50x = 29,182,547,241
  5. Step 5: Solve for x
    x = 29,182,547,241/80,260.50
  6. Step 6: Final answer
    x = 363,597.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.