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Finding the Third Proportional to 165,007.13 and 247,875.19

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Solution

The third proportional to 165,007.13 and 247,875.19 is: 372,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,007.13 : 247,875.19 = 247,875.19 : x
  2. Step 2: Convert to fraction form
    165,007.13/247,875.19 = 247,875.19/x
  3. Step 3: Cross multiply
    165,007.13x = 247,875.19 × 247,875.19
  4. Step 4: Simplify right side
    165,007.13x = 61,442,108,578.16
  5. Step 5: Solve for x
    x = 61,442,108,578.16/165,007.13
  6. Step 6: Final answer
    x = 372,360.34

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Why These Related Problems?

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