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Finding the Third Proportional to 133,044 and 194,382

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Solution

The third proportional to 133,044 and 194,382 is: 283,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044 : 194,382 = 194,382 : x
  2. Step 2: Convert to fraction form
    133,044/194,382 = 194,382/x
  3. Step 3: Cross multiply
    133,044x = 194,382 × 194,382
  4. Step 4: Simplify right side
    133,044x = 37,784,361,924
  5. Step 5: Solve for x
    x = 37,784,361,924/133,044
  6. Step 6: Final answer
    x = 283,998.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.