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Finding the Third Proportional to 295,166 and 442,814

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Solution

The third proportional to 295,166 and 442,814 is: 664,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,166 : 442,814 = 442,814 : x
  2. Step 2: Convert to fraction form
    295,166/442,814 = 442,814/x
  3. Step 3: Cross multiply
    295,166x = 442,814 × 442,814
  4. Step 4: Simplify right side
    295,166x = 196,084,238,596
  5. Step 5: Solve for x
    x = 196,084,238,596/295,166
  6. Step 6: Final answer
    x = 664,318.51

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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.