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Finding the Third Proportional to 217,301.63 and 345,771

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Solution

The third proportional to 217,301.63 and 345,771 is: 550,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,301.63 : 345,771 = 345,771 : x
  2. Step 2: Convert to fraction form
    217,301.63/345,771 = 345,771/x
  3. Step 3: Cross multiply
    217,301.63x = 345,771 × 345,771
  4. Step 4: Simplify right side
    217,301.63x = 119,557,584,441
  5. Step 5: Solve for x
    x = 119,557,584,441/217,301.63
  6. Step 6: Final answer
    x = 550,191.86

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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.