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Finding the Third Proportional to 163,432.69 and 252,439.03

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Solution

The third proportional to 163,432.69 and 252,439.03 is: 389,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,432.69 : 252,439.03 = 252,439.03 : x
  2. Step 2: Convert to fraction form
    163,432.69/252,439.03 = 252,439.03/x
  3. Step 3: Cross multiply
    163,432.69x = 252,439.03 × 252,439.03
  4. Step 4: Simplify right side
    163,432.69x = 63,725,464,498.44
  5. Step 5: Solve for x
    x = 63,725,464,498.44/163,432.69
  6. Step 6: Final answer
    x = 389,918.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.