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Finding the Third Proportional to 143,874 and 308,484

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Solution

The third proportional to 143,874 and 308,484 is: 661,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,874 : 308,484 = 308,484 : x
  2. Step 2: Convert to fraction form
    143,874/308,484 = 308,484/x
  3. Step 3: Cross multiply
    143,874x = 308,484 × 308,484
  4. Step 4: Simplify right side
    143,874x = 95,162,378,256
  5. Step 5: Solve for x
    x = 95,162,378,256/143,874
  6. Step 6: Final answer
    x = 661,428.60

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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.