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Finding the Third Proportional to 133,824.66 and 289,701.56

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Solution

The third proportional to 133,824.66 and 289,701.56 is: 627,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824.66 : 289,701.56 = 289,701.56 : x
  2. Step 2: Convert to fraction form
    133,824.66/289,701.56 = 289,701.56/x
  3. Step 3: Cross multiply
    133,824.66x = 289,701.56 × 289,701.56
  4. Step 4: Simplify right side
    133,824.66x = 83,926,995,314.94
  5. Step 5: Solve for x
    x = 83,926,995,314.94/133,824.66
  6. Step 6: Final answer
    x = 627,141.50

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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.