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Finding the Third Proportional to 140,022 and 299,484

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Solution

The third proportional to 140,022 and 299,484 is: 640,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,022 : 299,484 = 299,484 : x
  2. Step 2: Convert to fraction form
    140,022/299,484 = 299,484/x
  3. Step 3: Cross multiply
    140,022x = 299,484 × 299,484
  4. Step 4: Simplify right side
    140,022x = 89,690,666,256
  5. Step 5: Solve for x
    x = 89,690,666,256/140,022
  6. Step 6: Final answer
    x = 640,546.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.