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Finding the Third Proportional to 240,702 and 374,365

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Solution

The third proportional to 240,702 and 374,365 is: 582,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,702 : 374,365 = 374,365 : x
  2. Step 2: Convert to fraction form
    240,702/374,365 = 374,365/x
  3. Step 3: Cross multiply
    240,702x = 374,365 × 374,365
  4. Step 4: Simplify right side
    240,702x = 140,149,153,225
  5. Step 5: Solve for x
    x = 140,149,153,225/240,702
  6. Step 6: Final answer
    x = 582,251.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.