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Finding the Third Proportional to 295,165.13 and 442,659.38

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Solution

The third proportional to 295,165.13 and 442,659.38 is: 663,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,165.13 : 442,659.38 = 442,659.38 : x
  2. Step 2: Convert to fraction form
    295,165.13/442,659.38 = 442,659.38/x
  3. Step 3: Cross multiply
    295,165.13x = 442,659.38 × 442,659.38
  4. Step 4: Simplify right side
    295,165.13x = 195,947,322,275.39
  5. Step 5: Solve for x
    x = 195,947,322,275.39/295,165.13
  6. Step 6: Final answer
    x = 663,856.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.