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Finding the Third Proportional to 138,715.88 and 303,115.50

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Solution

The third proportional to 138,715.88 and 303,115.50 is: 662,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,715.88 : 303,115.50 = 303,115.50 : x
  2. Step 2: Convert to fraction form
    138,715.88/303,115.50 = 303,115.50/x
  3. Step 3: Cross multiply
    138,715.88x = 303,115.50 × 303,115.50
  4. Step 4: Simplify right side
    138,715.88x = 91,879,006,340.25
  5. Step 5: Solve for x
    x = 91,879,006,340.25/138,715.88
  6. Step 6: Final answer
    x = 662,353.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.