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Finding the Third Proportional to 368,686.69 and 495,208.69

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Solution

The third proportional to 368,686.69 and 495,208.69 is: 665,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,686.69 : 495,208.69 = 495,208.69 : x
  2. Step 2: Convert to fraction form
    368,686.69/495,208.69 = 495,208.69/x
  3. Step 3: Cross multiply
    368,686.69x = 495,208.69 × 495,208.69
  4. Step 4: Simplify right side
    368,686.69x = 245,231,644,175.47
  5. Step 5: Solve for x
    x = 245,231,644,175.47/368,686.69
  6. Step 6: Final answer
    x = 665,149.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.