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Finding the Third Proportional to 109,200 and 237,630

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Solution

The third proportional to 109,200 and 237,630 is: 517,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,200 : 237,630 = 237,630 : x
  2. Step 2: Convert to fraction form
    109,200/237,630 = 237,630/x
  3. Step 3: Cross multiply
    109,200x = 237,630 × 237,630
  4. Step 4: Simplify right side
    109,200x = 56,468,016,900
  5. Step 5: Solve for x
    x = 56,468,016,900/109,200
  6. Step 6: Final answer
    x = 517,106.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.