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Finding the Third Proportional to 217,437 and 345,921

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Solution

The third proportional to 217,437 and 345,921 is: 550,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,437 : 345,921 = 345,921 : x
  2. Step 2: Convert to fraction form
    217,437/345,921 = 345,921/x
  3. Step 3: Cross multiply
    217,437x = 345,921 × 345,921
  4. Step 4: Simplify right side
    217,437x = 119,661,338,241
  5. Step 5: Solve for x
    x = 119,661,338,241/217,437
  6. Step 6: Final answer
    x = 550,326.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.