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Finding the Third Proportional to 169,240 and 360,214

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Solution

The third proportional to 169,240 and 360,214 is: 766,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,240 : 360,214 = 360,214 : x
  2. Step 2: Convert to fraction form
    169,240/360,214 = 360,214/x
  3. Step 3: Cross multiply
    169,240x = 360,214 × 360,214
  4. Step 4: Simplify right side
    169,240x = 129,754,125,796
  5. Step 5: Solve for x
    x = 129,754,125,796/169,240
  6. Step 6: Final answer
    x = 766,687.11

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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.