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Finding the Third Proportional to 170,782 and 254,788

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Solution

The third proportional to 170,782 and 254,788 is: 380,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,782 : 254,788 = 254,788 : x
  2. Step 2: Convert to fraction form
    170,782/254,788 = 254,788/x
  3. Step 3: Cross multiply
    170,782x = 254,788 × 254,788
  4. Step 4: Simplify right side
    170,782x = 64,916,924,944
  5. Step 5: Solve for x
    x = 64,916,924,944/170,782
  6. Step 6: Final answer
    x = 380,115.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.