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Finding the Third Proportional to 170,838.75 and 260,470.13

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Solution

The third proportional to 170,838.75 and 260,470.13 is: 397,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838.75 : 260,470.13 = 260,470.13 : x
  2. Step 2: Convert to fraction form
    170,838.75/260,470.13 = 260,470.13/x
  3. Step 3: Cross multiply
    170,838.75x = 260,470.13 × 260,470.13
  4. Step 4: Simplify right side
    170,838.75x = 67,844,686,017.52
  5. Step 5: Solve for x
    x = 67,844,686,017.52/170,838.75
  6. Step 6: Final answer
    x = 397,127.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.