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Finding the Third Proportional to 163,073.25 and 259,432.88

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Solution

The third proportional to 163,073.25 and 259,432.88 is: 412,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,073.25 : 259,432.88 = 259,432.88 : x
  2. Step 2: Convert to fraction form
    163,073.25/259,432.88 = 259,432.88/x
  3. Step 3: Cross multiply
    163,073.25x = 259,432.88 × 259,432.88
  4. Step 4: Simplify right side
    163,073.25x = 67,305,416,630.77
  5. Step 5: Solve for x
    x = 67,305,416,630.77/163,073.25
  6. Step 6: Final answer
    x = 412,731.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.