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Finding the Third Proportional to 175,446.75 and 357,250.50

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Solution

The third proportional to 175,446.75 and 357,250.50 is: 727,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,446.75 : 357,250.50 = 357,250.50 : x
  2. Step 2: Convert to fraction form
    175,446.75/357,250.50 = 357,250.50/x
  3. Step 3: Cross multiply
    175,446.75x = 357,250.50 × 357,250.50
  4. Step 4: Simplify right side
    175,446.75x = 127,627,919,750.25
  5. Step 5: Solve for x
    x = 127,627,919,750.25/175,446.75
  6. Step 6: Final answer
    x = 727,445.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.