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Finding the Third Proportional to 175,059 and 381,802.50

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Solution

The third proportional to 175,059 and 381,802.50 is: 832,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,059 : 381,802.50 = 381,802.50 : x
  2. Step 2: Convert to fraction form
    175,059/381,802.50 = 381,802.50/x
  3. Step 3: Cross multiply
    175,059x = 381,802.50 × 381,802.50
  4. Step 4: Simplify right side
    175,059x = 145,773,149,006.25
  5. Step 5: Solve for x
    x = 145,773,149,006.25/175,059
  6. Step 6: Final answer
    x = 832,708.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.