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Finding the Third Proportional to 109,380 and 237,732

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Solution

The third proportional to 109,380 and 237,732 is: 516,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,380 : 237,732 = 237,732 : x
  2. Step 2: Convert to fraction form
    109,380/237,732 = 237,732/x
  3. Step 3: Cross multiply
    109,380x = 237,732 × 237,732
  4. Step 4: Simplify right side
    109,380x = 56,516,503,824
  5. Step 5: Solve for x
    x = 56,516,503,824/109,380
  6. Step 6: Final answer
    x = 516,698.70

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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.