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Finding the Third Proportional to 109,624 and 236,312

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Solution

The third proportional to 109,624 and 236,312 is: 509,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,624 : 236,312 = 236,312 : x
  2. Step 2: Convert to fraction form
    109,624/236,312 = 236,312/x
  3. Step 3: Cross multiply
    109,624x = 236,312 × 236,312
  4. Step 4: Simplify right side
    109,624x = 55,843,361,344
  5. Step 5: Solve for x
    x = 55,843,361,344/109,624
  6. Step 6: Final answer
    x = 509,408.17

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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.