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Finding the Third Proportional to 109,084 and 235,340

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Solution

The third proportional to 109,084 and 235,340 is: 507,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,084 : 235,340 = 235,340 : x
  2. Step 2: Convert to fraction form
    109,084/235,340 = 235,340/x
  3. Step 3: Cross multiply
    109,084x = 235,340 × 235,340
  4. Step 4: Simplify right side
    109,084x = 55,384,915,600
  5. Step 5: Solve for x
    x = 55,384,915,600/109,084
  6. Step 6: Final answer
    x = 507,727.22

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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.