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Finding the Third Proportional to 109,466 and 236,396

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Solution

The third proportional to 109,466 and 236,396 is: 510,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,466 : 236,396 = 236,396 : x
  2. Step 2: Convert to fraction form
    109,466/236,396 = 236,396/x
  3. Step 3: Cross multiply
    109,466x = 236,396 × 236,396
  4. Step 4: Simplify right side
    109,466x = 55,883,068,816
  5. Step 5: Solve for x
    x = 55,883,068,816/109,466
  6. Step 6: Final answer
    x = 510,506.17

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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.