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Finding the Third Proportional to 151,142 and 329,981

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Solution

The third proportional to 151,142 and 329,981 is: 720,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,142 : 329,981 = 329,981 : x
  2. Step 2: Convert to fraction form
    151,142/329,981 = 329,981/x
  3. Step 3: Cross multiply
    151,142x = 329,981 × 329,981
  4. Step 4: Simplify right side
    151,142x = 108,887,460,361
  5. Step 5: Solve for x
    x = 108,887,460,361/151,142
  6. Step 6: Final answer
    x = 720,431.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.