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Finding the Third Proportional to 240,852.38 and 338,873.63

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Solution

The third proportional to 240,852.38 and 338,873.63 is: 476,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,852.38 : 338,873.63 = 338,873.63 : x
  2. Step 2: Convert to fraction form
    240,852.38/338,873.63 = 338,873.63/x
  3. Step 3: Cross multiply
    240,852.38x = 338,873.63 × 338,873.63
  4. Step 4: Simplify right side
    240,852.38x = 114,835,333,720.64
  5. Step 5: Solve for x
    x = 114,835,333,720.64/240,852.38
  6. Step 6: Final answer
    x = 476,787.22

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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.