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Finding the Third Proportional to 179,792.50 and 387,605.75

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Solution

The third proportional to 179,792.50 and 387,605.75 is: 835,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,792.50 : 387,605.75 = 387,605.75 : x
  2. Step 2: Convert to fraction form
    179,792.50/387,605.75 = 387,605.75/x
  3. Step 3: Cross multiply
    179,792.50x = 387,605.75 × 387,605.75
  4. Step 4: Simplify right side
    179,792.50x = 150,238,217,433.06
  5. Step 5: Solve for x
    x = 150,238,217,433.06/179,792.50
  6. Step 6: Final answer
    x = 835,620.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.