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Finding the Third Proportional to 239,541 and 399,210

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Solution

The third proportional to 239,541 and 399,210 is: 665,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,541 : 399,210 = 399,210 : x
  2. Step 2: Convert to fraction form
    239,541/399,210 = 399,210/x
  3. Step 3: Cross multiply
    239,541x = 399,210 × 399,210
  4. Step 4: Simplify right side
    239,541x = 159,368,624,100
  5. Step 5: Solve for x
    x = 159,368,624,100/239,541
  6. Step 6: Final answer
    x = 665,308.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.