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Finding the Third Proportional to 175,734.56 and 363,930.47

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Solution

The third proportional to 175,734.56 and 363,930.47 is: 753,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,734.56 : 363,930.47 = 363,930.47 : x
  2. Step 2: Convert to fraction form
    175,734.56/363,930.47 = 363,930.47/x
  3. Step 3: Cross multiply
    175,734.56x = 363,930.47 × 363,930.47
  4. Step 4: Simplify right side
    175,734.56x = 132,445,386,084.60
  5. Step 5: Solve for x
    x = 132,445,386,084.60/175,734.56
  6. Step 6: Final answer
    x = 753,667.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.