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Finding the Third Proportional to 170,872.50 and 265,260.75

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Solution

The third proportional to 170,872.50 and 265,260.75 is: 411,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,872.50 : 265,260.75 = 265,260.75 : x
  2. Step 2: Convert to fraction form
    170,872.50/265,260.75 = 265,260.75/x
  3. Step 3: Cross multiply
    170,872.50x = 265,260.75 × 265,260.75
  4. Step 4: Simplify right side
    170,872.50x = 70,363,265,490.56
  5. Step 5: Solve for x
    x = 70,363,265,490.56/170,872.50
  6. Step 6: Final answer
    x = 411,788.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.