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Finding the Third Proportional to 131,590.50 and 289,419

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Solution

The third proportional to 131,590.50 and 289,419 is: 636,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,590.50 : 289,419 = 289,419 : x
  2. Step 2: Convert to fraction form
    131,590.50/289,419 = 289,419/x
  3. Step 3: Cross multiply
    131,590.50x = 289,419 × 289,419
  4. Step 4: Simplify right side
    131,590.50x = 83,763,357,561
  5. Step 5: Solve for x
    x = 83,763,357,561/131,590.50
  6. Step 6: Final answer
    x = 636,545.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.