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Finding the Third Proportional to 295,315.88 and 442,882.69

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Solution

The third proportional to 295,315.88 and 442,882.69 is: 664,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,315.88 : 442,882.69 = 442,882.69 : x
  2. Step 2: Convert to fraction form
    295,315.88/442,882.69 = 442,882.69/x
  3. Step 3: Cross multiply
    295,315.88x = 442,882.69 × 442,882.69
  4. Step 4: Simplify right side
    295,315.88x = 196,145,074,887.22
  5. Step 5: Solve for x
    x = 196,145,074,887.22/295,315.88
  6. Step 6: Final answer
    x = 664,187.37

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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.