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Finding the Third Proportional to 165,399.47 and 247,438.13

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Solution

The third proportional to 165,399.47 and 247,438.13 is: 370,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,399.47 : 247,438.13 = 247,438.13 : x
  2. Step 2: Convert to fraction form
    165,399.47/247,438.13 = 247,438.13/x
  3. Step 3: Cross multiply
    165,399.47x = 247,438.13 × 247,438.13
  4. Step 4: Simplify right side
    165,399.47x = 61,225,625,703.52
  5. Step 5: Solve for x
    x = 61,225,625,703.52/165,399.47
  6. Step 6: Final answer
    x = 370,168.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.