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Finding the Third Proportional to 240,858 and 338,882

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Solution

The third proportional to 240,858 and 338,882 is: 476,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,858 : 338,882 = 338,882 : x
  2. Step 2: Convert to fraction form
    240,858/338,882 = 338,882/x
  3. Step 3: Cross multiply
    240,858x = 338,882 × 338,882
  4. Step 4: Simplify right side
    240,858x = 114,841,009,924
  5. Step 5: Solve for x
    x = 114,841,009,924/240,858
  6. Step 6: Final answer
    x = 476,799.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.