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Finding the Third Proportional to 131,574 and 289,392

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Solution

The third proportional to 131,574 and 289,392 is: 636,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,574 : 289,392 = 289,392 : x
  2. Step 2: Convert to fraction form
    131,574/289,392 = 289,392/x
  3. Step 3: Cross multiply
    131,574x = 289,392 × 289,392
  4. Step 4: Simplify right side
    131,574x = 83,747,729,664
  5. Step 5: Solve for x
    x = 83,747,729,664/131,574
  6. Step 6: Final answer
    x = 636,506.68

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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.