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Finding the Third Proportional to 150,513.19 and 206,394.47

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Solution

The third proportional to 150,513.19 and 206,394.47 is: 283,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,513.19 : 206,394.47 = 206,394.47 : x
  2. Step 2: Convert to fraction form
    150,513.19/206,394.47 = 206,394.47/x
  3. Step 3: Cross multiply
    150,513.19x = 206,394.47 × 206,394.47
  4. Step 4: Simplify right side
    150,513.19x = 42,598,676,730.59
  5. Step 5: Solve for x
    x = 42,598,676,730.59/150,513.19
  6. Step 6: Final answer
    x = 283,022.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.