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Finding the Third Proportional to 70,329 and 154,010

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Solution

The third proportional to 70,329 and 154,010 is: 337,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,329 : 154,010 = 154,010 : x
  2. Step 2: Convert to fraction form
    70,329/154,010 = 154,010/x
  3. Step 3: Cross multiply
    70,329x = 154,010 × 154,010
  4. Step 4: Simplify right side
    70,329x = 23,719,080,100
  5. Step 5: Solve for x
    x = 23,719,080,100/70,329
  6. Step 6: Final answer
    x = 337,258.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.