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Finding the Third Proportional to 170,947.13 and 366,816.75

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Solution

The third proportional to 170,947.13 and 366,816.75 is: 787,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,947.13 : 366,816.75 = 366,816.75 : x
  2. Step 2: Convert to fraction form
    170,947.13/366,816.75 = 366,816.75/x
  3. Step 3: Cross multiply
    170,947.13x = 366,816.75 × 366,816.75
  4. Step 4: Simplify right side
    170,947.13x = 134,554,528,080.56
  5. Step 5: Solve for x
    x = 134,554,528,080.56/170,947.13
  6. Step 6: Final answer
    x = 787,111.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.