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Finding the Third Proportional to 131,576 and 289,396

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Solution

The third proportional to 131,576 and 289,396 is: 636,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,576 : 289,396 = 289,396 : x
  2. Step 2: Convert to fraction form
    131,576/289,396 = 289,396/x
  3. Step 3: Cross multiply
    131,576x = 289,396 × 289,396
  4. Step 4: Simplify right side
    131,576x = 83,750,044,816
  5. Step 5: Solve for x
    x = 83,750,044,816/131,576
  6. Step 6: Final answer
    x = 636,514.60

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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.