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Finding the Third Proportional to 151.69 and 328.31

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Solution

The third proportional to 151.69 and 328.31 is: 710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.69 : 328.31 = 328.31 : x
  2. Step 2: Convert to fraction form
    151.69/328.31 = 328.31/x
  3. Step 3: Cross multiply
    151.69x = 328.31 × 328.31
  4. Step 4: Simplify right side
    151.69x = 107,789.10
  5. Step 5: Solve for x
    x = 107,789.10/151.69
  6. Step 6: Final answer
    x = 710.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.