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Finding the Third Proportional to 163,819.13 and 247,232.81

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Solution

The third proportional to 163,819.13 and 247,232.81 is: 373,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,819.13 : 247,232.81 = 247,232.81 : x
  2. Step 2: Convert to fraction form
    163,819.13/247,232.81 = 247,232.81/x
  3. Step 3: Cross multiply
    163,819.13x = 247,232.81 × 247,232.81
  4. Step 4: Simplify right side
    163,819.13x = 61,124,063,576.66
  5. Step 5: Solve for x
    x = 61,124,063,576.66/163,819.13
  6. Step 6: Final answer
    x = 373,119.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.