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Finding the Third Proportional to 136,198 and 290,924

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Solution

The third proportional to 136,198 and 290,924 is: 621,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,198 : 290,924 = 290,924 : x
  2. Step 2: Convert to fraction form
    136,198/290,924 = 290,924/x
  3. Step 3: Cross multiply
    136,198x = 290,924 × 290,924
  4. Step 4: Simplify right side
    136,198x = 84,636,773,776
  5. Step 5: Solve for x
    x = 84,636,773,776/136,198
  6. Step 6: Final answer
    x = 621,424.50

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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.