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Finding the Third Proportional to 169,269 and 360,470

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Solution

The third proportional to 169,269 and 360,470 is: 767,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,269 : 360,470 = 360,470 : x
  2. Step 2: Convert to fraction form
    169,269/360,470 = 360,470/x
  3. Step 3: Cross multiply
    169,269x = 360,470 × 360,470
  4. Step 4: Simplify right side
    169,269x = 129,938,620,900
  5. Step 5: Solve for x
    x = 129,938,620,900/169,269
  6. Step 6: Final answer
    x = 767,645.71

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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.