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Finding the Third Proportional to 320,167.69 and 482,349.94

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Solution

The third proportional to 320,167.69 and 482,349.94 is: 726,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,167.69 : 482,349.94 = 482,349.94 : x
  2. Step 2: Convert to fraction form
    320,167.69/482,349.94 = 482,349.94/x
  3. Step 3: Cross multiply
    320,167.69x = 482,349.94 × 482,349.94
  4. Step 4: Simplify right side
    320,167.69x = 232,661,462,206.25
  5. Step 5: Solve for x
    x = 232,661,462,206.25/320,167.69
  6. Step 6: Final answer
    x = 726,686.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.