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Finding the Third Proportional to 109,479 and 236,049

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Solution

The third proportional to 109,479 and 236,049 is: 508,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,479 : 236,049 = 236,049 : x
  2. Step 2: Convert to fraction form
    109,479/236,049 = 236,049/x
  3. Step 3: Cross multiply
    109,479x = 236,049 × 236,049
  4. Step 4: Simplify right side
    109,479x = 55,719,130,401
  5. Step 5: Solve for x
    x = 55,719,130,401/109,479
  6. Step 6: Final answer
    x = 508,948.11

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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.