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Finding the Third Proportional to 94,044 and 205,584

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Solution

The third proportional to 94,044 and 205,584 is: 449,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,044 : 205,584 = 205,584 : x
  2. Step 2: Convert to fraction form
    94,044/205,584 = 205,584/x
  3. Step 3: Cross multiply
    94,044x = 205,584 × 205,584
  4. Step 4: Simplify right side
    94,044x = 42,264,781,056
  5. Step 5: Solve for x
    x = 42,264,781,056/94,044
  6. Step 6: Final answer
    x = 449,414.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.