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Finding the Third Proportional to 145,200.38 and 311,410.13

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Solution

The third proportional to 145,200.38 and 311,410.13 is: 667,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,200.38 : 311,410.13 = 311,410.13 : x
  2. Step 2: Convert to fraction form
    145,200.38/311,410.13 = 311,410.13/x
  3. Step 3: Cross multiply
    145,200.38x = 311,410.13 × 311,410.13
  4. Step 4: Simplify right side
    145,200.38x = 96,976,265,952.52
  5. Step 5: Solve for x
    x = 96,976,265,952.52/145,200.38
  6. Step 6: Final answer
    x = 667,878.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.