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Finding the Third Proportional to 175,537.13 and 260,025.19

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Solution

The third proportional to 175,537.13 and 260,025.19 is: 385,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,537.13 : 260,025.19 = 260,025.19 : x
  2. Step 2: Convert to fraction form
    175,537.13/260,025.19 = 260,025.19/x
  3. Step 3: Cross multiply
    175,537.13x = 260,025.19 × 260,025.19
  4. Step 4: Simplify right side
    175,537.13x = 67,613,098,134.41
  5. Step 5: Solve for x
    x = 67,613,098,134.41/175,537.13
  6. Step 6: Final answer
    x = 385,178.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.