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Finding the Third Proportional to 109,414 and 235,568

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Solution

The third proportional to 109,414 and 235,568 is: 507,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,414 : 235,568 = 235,568 : x
  2. Step 2: Convert to fraction form
    109,414/235,568 = 235,568/x
  3. Step 3: Cross multiply
    109,414x = 235,568 × 235,568
  4. Step 4: Simplify right side
    109,414x = 55,492,282,624
  5. Step 5: Solve for x
    x = 55,492,282,624/109,414
  6. Step 6: Final answer
    x = 507,177.17

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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.