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Finding the Third Proportional to 133,384 and 205,622

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Solution

The third proportional to 133,384 and 205,622 is: 316,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,384 : 205,622 = 205,622 : x
  2. Step 2: Convert to fraction form
    133,384/205,622 = 205,622/x
  3. Step 3: Cross multiply
    133,384x = 205,622 × 205,622
  4. Step 4: Simplify right side
    133,384x = 42,280,406,884
  5. Step 5: Solve for x
    x = 42,280,406,884/133,384
  6. Step 6: Final answer
    x = 316,982.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.