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Finding the Third Proportional to 134,191.13 and 289,399.88

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Solution

The third proportional to 134,191.13 and 289,399.88 is: 624,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,191.13 : 289,399.88 = 289,399.88 : x
  2. Step 2: Convert to fraction form
    134,191.13/289,399.88 = 289,399.88/x
  3. Step 3: Cross multiply
    134,191.13x = 289,399.88 × 289,399.88
  4. Step 4: Simplify right side
    134,191.13x = 83,752,287,650.02
  5. Step 5: Solve for x
    x = 83,752,287,650.02/134,191.13
  6. Step 6: Final answer
    x = 624,126.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.