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Finding the Third Proportional to 156,797 and 305,710

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Solution

The third proportional to 156,797 and 305,710 is: 596,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,797 : 305,710 = 305,710 : x
  2. Step 2: Convert to fraction form
    156,797/305,710 = 305,710/x
  3. Step 3: Cross multiply
    156,797x = 305,710 × 305,710
  4. Step 4: Simplify right side
    156,797x = 93,458,604,100
  5. Step 5: Solve for x
    x = 93,458,604,100/156,797
  6. Step 6: Final answer
    x = 596,048.42

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.