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Finding the Third Proportional to 207,124 and 306,744

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Solution

The third proportional to 207,124 and 306,744 is: 454,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,124 : 306,744 = 306,744 : x
  2. Step 2: Convert to fraction form
    207,124/306,744 = 306,744/x
  3. Step 3: Cross multiply
    207,124x = 306,744 × 306,744
  4. Step 4: Simplify right side
    207,124x = 94,091,881,536
  5. Step 5: Solve for x
    x = 94,091,881,536/207,124
  6. Step 6: Final answer
    x = 454,278.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.