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Finding the Third Proportional to 163,254.38 and 252,269.72

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Solution

The third proportional to 163,254.38 and 252,269.72 is: 389,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,254.38 : 252,269.72 = 252,269.72 : x
  2. Step 2: Convert to fraction form
    163,254.38/252,269.72 = 252,269.72/x
  3. Step 3: Cross multiply
    163,254.38x = 252,269.72 × 252,269.72
  4. Step 4: Simplify right side
    163,254.38x = 63,640,010,998.20
  5. Step 5: Solve for x
    x = 63,640,010,998.20/163,254.38
  6. Step 6: Final answer
    x = 389,821.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.