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Finding the Third Proportional to 70,470 and 153,819

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Solution

The third proportional to 70,470 and 153,819 is: 335,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,470 : 153,819 = 153,819 : x
  2. Step 2: Convert to fraction form
    70,470/153,819 = 153,819/x
  3. Step 3: Cross multiply
    70,470x = 153,819 × 153,819
  4. Step 4: Simplify right side
    70,470x = 23,660,284,761
  5. Step 5: Solve for x
    x = 23,660,284,761/70,470
  6. Step 6: Final answer
    x = 335,749.75

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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.