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Finding the Third Proportional to 182,113.50 and 274,384.50

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Solution

The third proportional to 182,113.50 and 274,384.50 is: 413,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,113.50 : 274,384.50 = 274,384.50 : x
  2. Step 2: Convert to fraction form
    182,113.50/274,384.50 = 274,384.50/x
  3. Step 3: Cross multiply
    182,113.50x = 274,384.50 × 274,384.50
  4. Step 4: Simplify right side
    182,113.50x = 75,286,853,840.25
  5. Step 5: Solve for x
    x = 75,286,853,840.25/182,113.50
  6. Step 6: Final answer
    x = 413,406.22

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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.