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Finding the Third Proportional to 240,375 and 373,671

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Solution

The third proportional to 240,375 and 373,671 is: 580,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,375 : 373,671 = 373,671 : x
  2. Step 2: Convert to fraction form
    240,375/373,671 = 373,671/x
  3. Step 3: Cross multiply
    240,375x = 373,671 × 373,671
  4. Step 4: Simplify right side
    240,375x = 139,630,016,241
  5. Step 5: Solve for x
    x = 139,630,016,241/240,375
  6. Step 6: Final answer
    x = 580,884.10

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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.