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Finding the Third Proportional to 240,224 and 373,944

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Solution

The third proportional to 240,224 and 373,944 is: 582,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,224 : 373,944 = 373,944 : x
  2. Step 2: Convert to fraction form
    240,224/373,944 = 373,944/x
  3. Step 3: Cross multiply
    240,224x = 373,944 × 373,944
  4. Step 4: Simplify right side
    240,224x = 139,834,115,136
  5. Step 5: Solve for x
    x = 139,834,115,136/240,224
  6. Step 6: Final answer
    x = 582,098.85

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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.