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Finding the Third Proportional to 240,828 and 374,118

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Solution

The third proportional to 240,828 and 374,118 is: 581,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,828 : 374,118 = 374,118 : x
  2. Step 2: Convert to fraction form
    240,828/374,118 = 374,118/x
  3. Step 3: Cross multiply
    240,828x = 374,118 × 374,118
  4. Step 4: Simplify right side
    240,828x = 139,964,277,924
  5. Step 5: Solve for x
    x = 139,964,277,924/240,828
  6. Step 6: Final answer
    x = 581,179.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.