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Finding the Third Proportional to 70,974 and 156,349.13

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Solution

The third proportional to 70,974 and 156,349.13 is: 344,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,974 : 156,349.13 = 156,349.13 : x
  2. Step 2: Convert to fraction form
    70,974/156,349.13 = 156,349.13/x
  3. Step 3: Cross multiply
    70,974x = 156,349.13 × 156,349.13
  4. Step 4: Simplify right side
    70,974x = 24,445,048,888.27
  5. Step 5: Solve for x
    x = 24,445,048,888.27/70,974
  6. Step 6: Final answer
    x = 344,422.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.