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Finding the Third Proportional to 70,279 and 153,175

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Solution

The third proportional to 70,279 and 153,175 is: 333,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,279 : 153,175 = 153,175 : x
  2. Step 2: Convert to fraction form
    70,279/153,175 = 153,175/x
  3. Step 3: Cross multiply
    70,279x = 153,175 × 153,175
  4. Step 4: Simplify right side
    70,279x = 23,462,580,625
  5. Step 5: Solve for x
    x = 23,462,580,625/70,279
  6. Step 6: Final answer
    x = 333,849.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.