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Finding the Third Proportional to 85,335.19 and 185,715

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Solution

The third proportional to 85,335.19 and 185,715 is: 404,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,335.19 : 185,715 = 185,715 : x
  2. Step 2: Convert to fraction form
    85,335.19/185,715 = 185,715/x
  3. Step 3: Cross multiply
    85,335.19x = 185,715 × 185,715
  4. Step 4: Simplify right side
    85,335.19x = 34,490,061,225
  5. Step 5: Solve for x
    x = 34,490,061,225/85,335.19
  6. Step 6: Final answer
    x = 404,171.62

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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.