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Finding the Third Proportional to 175,510.13 and 260,682.75

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Solution

The third proportional to 175,510.13 and 260,682.75 is: 387,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510.13 : 260,682.75 = 260,682.75 : x
  2. Step 2: Convert to fraction form
    175,510.13/260,682.75 = 260,682.75/x
  3. Step 3: Cross multiply
    175,510.13x = 260,682.75 × 260,682.75
  4. Step 4: Simplify right side
    175,510.13x = 67,955,496,147.56
  5. Step 5: Solve for x
    x = 67,955,496,147.56/175,510.13
  6. Step 6: Final answer
    x = 387,188.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.