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Finding the Third Proportional to 196,839.28 and 305,374.22

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Solution

The third proportional to 196,839.28 and 305,374.22 is: 473,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,839.28 : 305,374.22 = 305,374.22 : x
  2. Step 2: Convert to fraction form
    196,839.28/305,374.22 = 305,374.22/x
  3. Step 3: Cross multiply
    196,839.28x = 305,374.22 × 305,374.22
  4. Step 4: Simplify right side
    196,839.28x = 93,253,413,477.17
  5. Step 5: Solve for x
    x = 93,253,413,477.17/196,839.28
  6. Step 6: Final answer
    x = 473,754.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.