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Finding the Third Proportional to 156,048.88 and 235,713.25

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Solution

The third proportional to 156,048.88 and 235,713.25 is: 356,047.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,048.88 : 235,713.25 = 235,713.25 : x
  2. Step 2: Convert to fraction form
    156,048.88/235,713.25 = 235,713.25/x
  3. Step 3: Cross multiply
    156,048.88x = 235,713.25 × 235,713.25
  4. Step 4: Simplify right side
    156,048.88x = 55,560,736,225.56
  5. Step 5: Solve for x
    x = 55,560,736,225.56/156,048.88
  6. Step 6: Final answer
    x = 356,047.02

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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.