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Finding the Third Proportional to 70,228 and 153,080

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Solution

The third proportional to 70,228 and 153,080 is: 333,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,228 : 153,080 = 153,080 : x
  2. Step 2: Convert to fraction form
    70,228/153,080 = 153,080/x
  3. Step 3: Cross multiply
    70,228x = 153,080 × 153,080
  4. Step 4: Simplify right side
    70,228x = 23,433,486,400
  5. Step 5: Solve for x
    x = 23,433,486,400/70,228
  6. Step 6: Final answer
    x = 333,677.26

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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.