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Finding the Third Proportional to 217,574 and 337,600

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Solution

The third proportional to 217,574 and 337,600 is: 523,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,574 : 337,600 = 337,600 : x
  2. Step 2: Convert to fraction form
    217,574/337,600 = 337,600/x
  3. Step 3: Cross multiply
    217,574x = 337,600 × 337,600
  4. Step 4: Simplify right side
    217,574x = 113,973,760,000
  5. Step 5: Solve for x
    x = 113,973,760,000/217,574
  6. Step 6: Final answer
    x = 523,839.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.