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Finding the Third Proportional to 170,677.13 and 258,364.69

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Solution

The third proportional to 170,677.13 and 258,364.69 is: 391,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,677.13 : 258,364.69 = 258,364.69 : x
  2. Step 2: Convert to fraction form
    170,677.13/258,364.69 = 258,364.69/x
  3. Step 3: Cross multiply
    170,677.13x = 258,364.69 × 258,364.69
  4. Step 4: Simplify right side
    170,677.13x = 66,752,311,746.97
  5. Step 5: Solve for x
    x = 66,752,311,746.97/170,677.13
  6. Step 6: Final answer
    x = 391,102.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.