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Finding the Third Proportional to 192,732.75 and 306,919.13

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Solution

The third proportional to 192,732.75 and 306,919.13 is: 488,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,732.75 : 306,919.13 = 306,919.13 : x
  2. Step 2: Convert to fraction form
    192,732.75/306,919.13 = 306,919.13/x
  3. Step 3: Cross multiply
    192,732.75x = 306,919.13 × 306,919.13
  4. Step 4: Simplify right side
    192,732.75x = 94,199,349,290.77
  5. Step 5: Solve for x
    x = 94,199,349,290.77/192,732.75
  6. Step 6: Final answer
    x = 488,756.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.