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Finding the Third Proportional to 175,327.50 and 383,643

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Solution

The third proportional to 175,327.50 and 383,643 is: 839,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,327.50 : 383,643 = 383,643 : x
  2. Step 2: Convert to fraction form
    175,327.50/383,643 = 383,643/x
  3. Step 3: Cross multiply
    175,327.50x = 383,643 × 383,643
  4. Step 4: Simplify right side
    175,327.50x = 147,181,951,449
  5. Step 5: Solve for x
    x = 147,181,951,449/175,327.50
  6. Step 6: Final answer
    x = 839,468.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.