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Finding the Third Proportional to 107,984 and 237,442

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Solution

The third proportional to 107,984 and 237,442 is: 522,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,984 : 237,442 = 237,442 : x
  2. Step 2: Convert to fraction form
    107,984/237,442 = 237,442/x
  3. Step 3: Cross multiply
    107,984x = 237,442 × 237,442
  4. Step 4: Simplify right side
    107,984x = 56,378,703,364
  5. Step 5: Solve for x
    x = 56,378,703,364/107,984
  6. Step 6: Final answer
    x = 522,102.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.