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Finding the Third Proportional to 170,029.13 and 370,584.56

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Solution

The third proportional to 170,029.13 and 370,584.56 is: 807,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,029.13 : 370,584.56 = 370,584.56 : x
  2. Step 2: Convert to fraction form
    170,029.13/370,584.56 = 370,584.56/x
  3. Step 3: Cross multiply
    170,029.13x = 370,584.56 × 370,584.56
  4. Step 4: Simplify right side
    170,029.13x = 137,332,917,963.32
  5. Step 5: Solve for x
    x = 137,332,917,963.32/170,029.13
  6. Step 6: Final answer
    x = 807,702.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.