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Finding the Third Proportional to 269,731.88 and 402,750.56

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Solution

The third proportional to 269,731.88 and 402,750.56 is: 601,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,731.88 : 402,750.56 = 402,750.56 : x
  2. Step 2: Convert to fraction form
    269,731.88/402,750.56 = 402,750.56/x
  3. Step 3: Cross multiply
    269,731.88x = 402,750.56 × 402,750.56
  4. Step 4: Simplify right side
    269,731.88x = 162,208,015,594.07
  5. Step 5: Solve for x
    x = 162,208,015,594.07/269,731.88
  6. Step 6: Final answer
    x = 601,367.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.