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Finding the Third Proportional to 175,655.25 and 379,293.75

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Solution

The third proportional to 175,655.25 and 379,293.75 is: 819,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,655.25 : 379,293.75 = 379,293.75 : x
  2. Step 2: Convert to fraction form
    175,655.25/379,293.75 = 379,293.75/x
  3. Step 3: Cross multiply
    175,655.25x = 379,293.75 × 379,293.75
  4. Step 4: Simplify right side
    175,655.25x = 143,863,748,789.06
  5. Step 5: Solve for x
    x = 143,863,748,789.06/175,655.25
  6. Step 6: Final answer
    x = 819,011.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.