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Finding the Third Proportional to 134,476.88 and 289,701.56

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Solution

The third proportional to 134,476.88 and 289,701.56 is: 624,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,476.88 : 289,701.56 = 289,701.56 : x
  2. Step 2: Convert to fraction form
    134,476.88/289,701.56 = 289,701.56/x
  3. Step 3: Cross multiply
    134,476.88x = 289,701.56 × 289,701.56
  4. Step 4: Simplify right side
    134,476.88x = 83,926,995,314.94
  5. Step 5: Solve for x
    x = 83,926,995,314.94/134,476.88
  6. Step 6: Final answer
    x = 624,099.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.