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Finding the Third Proportional to 175,014.50 and 381,705.50

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Solution

The third proportional to 175,014.50 and 381,705.50 is: 832,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,014.50 : 381,705.50 = 381,705.50 : x
  2. Step 2: Convert to fraction form
    175,014.50/381,705.50 = 381,705.50/x
  3. Step 3: Cross multiply
    175,014.50x = 381,705.50 × 381,705.50
  4. Step 4: Simplify right side
    175,014.50x = 145,699,088,730.25
  5. Step 5: Solve for x
    x = 145,699,088,730.25/175,014.50
  6. Step 6: Final answer
    x = 832,497.24

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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.