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Finding the Third Proportional to 240,670 and 374,167

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Solution

The third proportional to 240,670 and 374,167 is: 581,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,670 : 374,167 = 374,167 : x
  2. Step 2: Convert to fraction form
    240,670/374,167 = 374,167/x
  3. Step 3: Cross multiply
    240,670x = 374,167 × 374,167
  4. Step 4: Simplify right side
    240,670x = 140,000,943,889
  5. Step 5: Solve for x
    x = 140,000,943,889/240,670
  6. Step 6: Final answer
    x = 581,713.32

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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.