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Finding the Third Proportional to 156,782.25 and 236,642.34

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Solution

The third proportional to 156,782.25 and 236,642.34 is: 357,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782.25 : 236,642.34 = 236,642.34 : x
  2. Step 2: Convert to fraction form
    156,782.25/236,642.34 = 236,642.34/x
  3. Step 3: Cross multiply
    156,782.25x = 236,642.34 × 236,642.34
  4. Step 4: Simplify right side
    156,782.25x = 55,999,598,855.49
  5. Step 5: Solve for x
    x = 55,999,598,855.49/156,782.25
  6. Step 6: Final answer
    x = 357,180.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.