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Finding the Third Proportional to 140,512 and 249,836

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Solution

The third proportional to 140,512 and 249,836 is: 444,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,512 : 249,836 = 249,836 : x
  2. Step 2: Convert to fraction form
    140,512/249,836 = 249,836/x
  3. Step 3: Cross multiply
    140,512x = 249,836 × 249,836
  4. Step 4: Simplify right side
    140,512x = 62,418,026,896
  5. Step 5: Solve for x
    x = 62,418,026,896/140,512
  6. Step 6: Final answer
    x = 444,218.48

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.