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Finding the Third Proportional to 133,065.28 and 288,591.10

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Solution

The third proportional to 133,065.28 and 288,591.10 is: 625,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,065.28 : 288,591.10 = 288,591.10 : x
  2. Step 2: Convert to fraction form
    133,065.28/288,591.10 = 288,591.10/x
  3. Step 3: Cross multiply
    133,065.28x = 288,591.10 × 288,591.10
  4. Step 4: Simplify right side
    133,065.28x = 83,284,820,237.31
  5. Step 5: Solve for x
    x = 83,284,820,237.31/133,065.28
  6. Step 6: Final answer
    x = 625,894.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.