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Finding the Third Proportional to 109,604 and 236,680

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Solution

The third proportional to 109,604 and 236,680 is: 511,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,604 : 236,680 = 236,680 : x
  2. Step 2: Convert to fraction form
    109,604/236,680 = 236,680/x
  3. Step 3: Cross multiply
    109,604x = 236,680 × 236,680
  4. Step 4: Simplify right side
    109,604x = 56,017,422,400
  5. Step 5: Solve for x
    x = 56,017,422,400/109,604
  6. Step 6: Final answer
    x = 511,089.22

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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.