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Finding the Third Proportional to 232,456.25 and 359,047.75

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Solution

The third proportional to 232,456.25 and 359,047.75 is: 554,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,456.25 : 359,047.75 = 359,047.75 : x
  2. Step 2: Convert to fraction form
    232,456.25/359,047.75 = 359,047.75/x
  3. Step 3: Cross multiply
    232,456.25x = 359,047.75 × 359,047.75
  4. Step 4: Simplify right side
    232,456.25x = 128,915,286,780.06
  5. Step 5: Solve for x
    x = 128,915,286,780.06/232,456.25
  6. Step 6: Final answer
    x = 554,578.71

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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.