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Finding the Third Proportional to 83,157.50 and 182,261

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Solution

The third proportional to 83,157.50 and 182,261 is: 399,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,157.50 : 182,261 = 182,261 : x
  2. Step 2: Convert to fraction form
    83,157.50/182,261 = 182,261/x
  3. Step 3: Cross multiply
    83,157.50x = 182,261 × 182,261
  4. Step 4: Simplify right side
    83,157.50x = 33,219,072,121
  5. Step 5: Solve for x
    x = 33,219,072,121/83,157.50
  6. Step 6: Final answer
    x = 399,471.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.