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Finding the Third Proportional to 143,037 and 308,565

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Solution

The third proportional to 143,037 and 308,565 is: 665,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,037 : 308,565 = 308,565 : x
  2. Step 2: Convert to fraction form
    143,037/308,565 = 308,565/x
  3. Step 3: Cross multiply
    143,037x = 308,565 × 308,565
  4. Step 4: Simplify right side
    143,037x = 95,212,359,225
  5. Step 5: Solve for x
    x = 95,212,359,225/143,037
  6. Step 6: Final answer
    x = 665,648.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.