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Finding the Third Proportional to 101,248 and 217,472

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Solution

The third proportional to 101,248 and 217,472 is: 467,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,248 : 217,472 = 217,472 : x
  2. Step 2: Convert to fraction form
    101,248/217,472 = 217,472/x
  3. Step 3: Cross multiply
    101,248x = 217,472 × 217,472
  4. Step 4: Simplify right side
    101,248x = 47,294,070,784
  5. Step 5: Solve for x
    x = 47,294,070,784/101,248
  6. Step 6: Final answer
    x = 467,111.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.