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Finding the Third Proportional to 156,783.25 and 236,632.88

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Solution

The third proportional to 156,783.25 and 236,632.88 is: 357,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,783.25 : 236,632.88 = 236,632.88 : x
  2. Step 2: Convert to fraction form
    156,783.25/236,632.88 = 236,632.88/x
  3. Step 3: Cross multiply
    156,783.25x = 236,632.88 × 236,632.88
  4. Step 4: Simplify right side
    156,783.25x = 55,995,117,530.77
  5. Step 5: Solve for x
    x = 55,995,117,530.77/156,783.25
  6. Step 6: Final answer
    x = 357,149.87

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