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Finding the Third Proportional to 152,151 and 308,910

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Solution

The third proportional to 152,151 and 308,910 is: 627,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,151 : 308,910 = 308,910 : x
  2. Step 2: Convert to fraction form
    152,151/308,910 = 308,910/x
  3. Step 3: Cross multiply
    152,151x = 308,910 × 308,910
  4. Step 4: Simplify right side
    152,151x = 95,425,388,100
  5. Step 5: Solve for x
    x = 95,425,388,100/152,151
  6. Step 6: Final answer
    x = 627,175.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.