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Finding the Third Proportional to 76,333.50 and 157,423.50

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Solution

The third proportional to 76,333.50 and 157,423.50 is: 324,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,333.50 : 157,423.50 = 157,423.50 : x
  2. Step 2: Convert to fraction form
    76,333.50/157,423.50 = 157,423.50/x
  3. Step 3: Cross multiply
    76,333.50x = 157,423.50 × 157,423.50
  4. Step 4: Simplify right side
    76,333.50x = 24,782,158,352.25
  5. Step 5: Solve for x
    x = 24,782,158,352.25/76,333.50
  6. Step 6: Final answer
    x = 324,656.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.