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Finding the Third Proportional to 109,792 and 236,228

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Solution

The third proportional to 109,792 and 236,228 is: 508,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,792 : 236,228 = 236,228 : x
  2. Step 2: Convert to fraction form
    109,792/236,228 = 236,228/x
  3. Step 3: Cross multiply
    109,792x = 236,228 × 236,228
  4. Step 4: Simplify right side
    109,792x = 55,803,667,984
  5. Step 5: Solve for x
    x = 55,803,667,984/109,792
  6. Step 6: Final answer
    x = 508,267.16

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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.