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Finding the Third Proportional to 175,044 and 422,017.50

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Solution

The third proportional to 175,044 and 422,017.50 is: 1,017,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,044 : 422,017.50 = 422,017.50 : x
  2. Step 2: Convert to fraction form
    175,044/422,017.50 = 422,017.50/x
  3. Step 3: Cross multiply
    175,044x = 422,017.50 × 422,017.50
  4. Step 4: Simplify right side
    175,044x = 178,098,770,306.25
  5. Step 5: Solve for x
    x = 178,098,770,306.25/175,044
  6. Step 6: Final answer
    x = 1,017,451.44

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.