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Finding the Third Proportional to 109,497 and 236,472

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Solution

The third proportional to 109,497 and 236,472 is: 510,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,497 : 236,472 = 236,472 : x
  2. Step 2: Convert to fraction form
    109,497/236,472 = 236,472/x
  3. Step 3: Cross multiply
    109,497x = 236,472 × 236,472
  4. Step 4: Simplify right side
    109,497x = 55,919,006,784
  5. Step 5: Solve for x
    x = 55,919,006,784/109,497
  6. Step 6: Final answer
    x = 510,689.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.