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Finding the Third Proportional to 131,583 and 289,410

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Solution

The third proportional to 131,583 and 289,410 is: 636,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,583 : 289,410 = 289,410 : x
  2. Step 2: Convert to fraction form
    131,583/289,410 = 289,410/x
  3. Step 3: Cross multiply
    131,583x = 289,410 × 289,410
  4. Step 4: Simplify right side
    131,583x = 83,758,148,100
  5. Step 5: Solve for x
    x = 83,758,148,100/131,583
  6. Step 6: Final answer
    x = 636,542.32

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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.