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Finding the Third Proportional to 217,051 and 465,251

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Solution

The third proportional to 217,051 and 465,251 is: 997,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,051 : 465,251 = 465,251 : x
  2. Step 2: Convert to fraction form
    217,051/465,251 = 465,251/x
  3. Step 3: Cross multiply
    217,051x = 465,251 × 465,251
  4. Step 4: Simplify right side
    217,051x = 216,458,493,001
  5. Step 5: Solve for x
    x = 216,458,493,001/217,051
  6. Step 6: Final answer
    x = 997,270.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.