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Finding the Third Proportional to 119,597 and 260,215

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Solution

The third proportional to 119,597 and 260,215 is: 566,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,597 : 260,215 = 260,215 : x
  2. Step 2: Convert to fraction form
    119,597/260,215 = 260,215/x
  3. Step 3: Cross multiply
    119,597x = 260,215 × 260,215
  4. Step 4: Simplify right side
    119,597x = 67,711,846,225
  5. Step 5: Solve for x
    x = 67,711,846,225/119,597
  6. Step 6: Final answer
    x = 566,166.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.