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Finding the Third Proportional to 170,677.13 and 245,854.69

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Solution

The third proportional to 170,677.13 and 245,854.69 is: 354,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,677.13 : 245,854.69 = 245,854.69 : x
  2. Step 2: Convert to fraction form
    170,677.13/245,854.69 = 245,854.69/x
  3. Step 3: Cross multiply
    170,677.13x = 245,854.69 × 245,854.69
  4. Step 4: Simplify right side
    170,677.13x = 60,444,527,365.72
  5. Step 5: Solve for x
    x = 60,444,527,365.72/170,677.13
  6. Step 6: Final answer
    x = 354,145.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.