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Finding the Third Proportional to 169,230 and 361,788

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Solution

The third proportional to 169,230 and 361,788 is: 773,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,230 : 361,788 = 361,788 : x
  2. Step 2: Convert to fraction form
    169,230/361,788 = 361,788/x
  3. Step 3: Cross multiply
    169,230x = 361,788 × 361,788
  4. Step 4: Simplify right side
    169,230x = 130,890,556,944
  5. Step 5: Solve for x
    x = 130,890,556,944/169,230
  6. Step 6: Final answer
    x = 773,447.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.