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Finding the Third Proportional to 133,984 and 207,367

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Solution

The third proportional to 133,984 and 207,367 is: 320,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,984 : 207,367 = 207,367 : x
  2. Step 2: Convert to fraction form
    133,984/207,367 = 207,367/x
  3. Step 3: Cross multiply
    133,984x = 207,367 × 207,367
  4. Step 4: Simplify right side
    133,984x = 43,001,072,689
  5. Step 5: Solve for x
    x = 43,001,072,689/133,984
  6. Step 6: Final answer
    x = 320,941.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.