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Finding the Third Proportional to 165,334.50 and 247,637.25

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Solution

The third proportional to 165,334.50 and 247,637.25 is: 370,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,334.50 : 247,637.25 = 247,637.25 : x
  2. Step 2: Convert to fraction form
    165,334.50/247,637.25 = 247,637.25/x
  3. Step 3: Cross multiply
    165,334.50x = 247,637.25 × 247,637.25
  4. Step 4: Simplify right side
    165,334.50x = 61,324,207,587.56
  5. Step 5: Solve for x
    x = 61,324,207,587.56/165,334.50
  6. Step 6: Final answer
    x = 370,909.93

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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.