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Finding the Third Proportional to 118,905.47 and 247,632.19

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Solution

The third proportional to 118,905.47 and 247,632.19 is: 515,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,905.47 : 247,632.19 = 247,632.19 : x
  2. Step 2: Convert to fraction form
    118,905.47/247,632.19 = 247,632.19/x
  3. Step 3: Cross multiply
    118,905.47x = 247,632.19 × 247,632.19
  4. Step 4: Simplify right side
    118,905.47x = 61,321,700,286.04
  5. Step 5: Solve for x
    x = 61,321,700,286.04/118,905.47
  6. Step 6: Final answer
    x = 515,718.08

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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.