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Finding the Third Proportional to 142,981 and 308,123

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Solution

The third proportional to 142,981 and 308,123 is: 664,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,981 : 308,123 = 308,123 : x
  2. Step 2: Convert to fraction form
    142,981/308,123 = 308,123/x
  3. Step 3: Cross multiply
    142,981x = 308,123 × 308,123
  4. Step 4: Simplify right side
    142,981x = 94,939,783,129
  5. Step 5: Solve for x
    x = 94,939,783,129/142,981
  6. Step 6: Final answer
    x = 664,002.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.