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Finding the Third Proportional to 133,798 and 207,285

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Solution

The third proportional to 133,798 and 207,285 is: 321,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,798 : 207,285 = 207,285 : x
  2. Step 2: Convert to fraction form
    133,798/207,285 = 207,285/x
  3. Step 3: Cross multiply
    133,798x = 207,285 × 207,285
  4. Step 4: Simplify right side
    133,798x = 42,967,071,225
  5. Step 5: Solve for x
    x = 42,967,071,225/133,798
  6. Step 6: Final answer
    x = 321,133.88

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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.