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Finding the Third Proportional to 223,732.13 and 325,032.75

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Solution

The third proportional to 223,732.13 and 325,032.75 is: 472,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,732.13 : 325,032.75 = 325,032.75 : x
  2. Step 2: Convert to fraction form
    223,732.13/325,032.75 = 325,032.75/x
  3. Step 3: Cross multiply
    223,732.13x = 325,032.75 × 325,032.75
  4. Step 4: Simplify right side
    223,732.13x = 105,646,288,572.56
  5. Step 5: Solve for x
    x = 105,646,288,572.56/223,732.13
  6. Step 6: Final answer
    x = 472,199.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.