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Finding the Third Proportional to 150,900.38 and 314,197.13

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Solution

The third proportional to 150,900.38 and 314,197.13 is: 654,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,900.38 : 314,197.13 = 314,197.13 : x
  2. Step 2: Convert to fraction form
    150,900.38/314,197.13 = 314,197.13/x
  3. Step 3: Cross multiply
    150,900.38x = 314,197.13 × 314,197.13
  4. Step 4: Simplify right side
    150,900.38x = 98,719,833,358.27
  5. Step 5: Solve for x
    x = 98,719,833,358.27/150,900.38
  6. Step 6: Final answer
    x = 654,205.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.