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Finding the Third Proportional to 136,341 and 209,290

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Solution

The third proportional to 136,341 and 209,290 is: 321,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,341 : 209,290 = 209,290 : x
  2. Step 2: Convert to fraction form
    136,341/209,290 = 209,290/x
  3. Step 3: Cross multiply
    136,341x = 209,290 × 209,290
  4. Step 4: Simplify right side
    136,341x = 43,802,304,100
  5. Step 5: Solve for x
    x = 43,802,304,100/136,341
  6. Step 6: Final answer
    x = 321,270.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.