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Finding the Third Proportional to 163,873.13 and 257,500.27

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Solution

The third proportional to 163,873.13 and 257,500.27 is: 404,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,873.13 : 257,500.27 = 257,500.27 : x
  2. Step 2: Convert to fraction form
    163,873.13/257,500.27 = 257,500.27/x
  3. Step 3: Cross multiply
    163,873.13x = 257,500.27 × 257,500.27
  4. Step 4: Simplify right side
    163,873.13x = 66,306,386,796.95
  5. Step 5: Solve for x
    x = 66,306,386,796.95/163,873.13
  6. Step 6: Final answer
    x = 404,620.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.