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Finding the Third Proportional to 109,032 and 237,480

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Solution

The third proportional to 109,032 and 237,480 is: 517,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,032 : 237,480 = 237,480 : x
  2. Step 2: Convert to fraction form
    109,032/237,480 = 237,480/x
  3. Step 3: Cross multiply
    109,032x = 237,480 × 237,480
  4. Step 4: Simplify right side
    109,032x = 56,396,750,400
  5. Step 5: Solve for x
    x = 56,396,750,400/109,032
  6. Step 6: Final answer
    x = 517,249.53

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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.