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Finding the Third Proportional to 175,740.75 and 363,942.25

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Solution

The third proportional to 175,740.75 and 363,942.25 is: 753,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,740.75 : 363,942.25 = 363,942.25 : x
  2. Step 2: Convert to fraction form
    175,740.75/363,942.25 = 363,942.25/x
  3. Step 3: Cross multiply
    175,740.75x = 363,942.25 × 363,942.25
  4. Step 4: Simplify right side
    175,740.75x = 132,453,961,335.06
  5. Step 5: Solve for x
    x = 132,453,961,335.06/175,740.75
  6. Step 6: Final answer
    x = 753,689.52

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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.