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Finding the Third Proportional to 109,360 and 237,692

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Solution

The third proportional to 109,360 and 237,692 is: 516,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,360 : 237,692 = 237,692 : x
  2. Step 2: Convert to fraction form
    109,360/237,692 = 237,692/x
  3. Step 3: Cross multiply
    109,360x = 237,692 × 237,692
  4. Step 4: Simplify right side
    109,360x = 56,497,486,864
  5. Step 5: Solve for x
    x = 56,497,486,864/109,360
  6. Step 6: Final answer
    x = 516,619.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.