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Finding the Third Proportional to 241,902 and 338,341.50

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Solution

The third proportional to 241,902 and 338,341.50 is: 473,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,902 : 338,341.50 = 338,341.50 : x
  2. Step 2: Convert to fraction form
    241,902/338,341.50 = 338,341.50/x
  3. Step 3: Cross multiply
    241,902x = 338,341.50 × 338,341.50
  4. Step 4: Simplify right side
    241,902x = 114,474,970,622.25
  5. Step 5: Solve for x
    x = 114,474,970,622.25/241,902
  6. Step 6: Final answer
    x = 473,228.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.