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Finding the Third Proportional to 145,847 and 316,590

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Solution

The third proportional to 145,847 and 316,590 is: 687,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,847 : 316,590 = 316,590 : x
  2. Step 2: Convert to fraction form
    145,847/316,590 = 316,590/x
  3. Step 3: Cross multiply
    145,847x = 316,590 × 316,590
  4. Step 4: Simplify right side
    145,847x = 100,229,228,100
  5. Step 5: Solve for x
    x = 100,229,228,100/145,847
  6. Step 6: Final answer
    x = 687,221.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.