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Finding the Third Proportional to 240,685 and 374,187

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Solution

The third proportional to 240,685 and 374,187 is: 581,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,685 : 374,187 = 374,187 : x
  2. Step 2: Convert to fraction form
    240,685/374,187 = 374,187/x
  3. Step 3: Cross multiply
    240,685x = 374,187 × 374,187
  4. Step 4: Simplify right side
    240,685x = 140,015,910,969
  5. Step 5: Solve for x
    x = 140,015,910,969/240,685
  6. Step 6: Final answer
    x = 581,739.25

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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.