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Finding the Third Proportional to 169,470 and 361,458

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Solution

The third proportional to 169,470 and 361,458 is: 770,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,470 : 361,458 = 361,458 : x
  2. Step 2: Convert to fraction form
    169,470/361,458 = 361,458/x
  3. Step 3: Cross multiply
    169,470x = 361,458 × 361,458
  4. Step 4: Simplify right side
    169,470x = 130,651,885,764
  5. Step 5: Solve for x
    x = 130,651,885,764/169,470
  6. Step 6: Final answer
    x = 770,944.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.