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Finding the Third Proportional to 316,161 and 562,149

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Solution

The third proportional to 316,161 and 562,149 is: 999,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,161 : 562,149 = 562,149 : x
  2. Step 2: Convert to fraction form
    316,161/562,149 = 562,149/x
  3. Step 3: Cross multiply
    316,161x = 562,149 × 562,149
  4. Step 4: Simplify right side
    316,161x = 316,011,498,201
  5. Step 5: Solve for x
    x = 316,011,498,201/316,161
  6. Step 6: Final answer
    x = 999,527.13

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.