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Finding the Third Proportional to 85,399.50 and 182,623.13

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Solution

The third proportional to 85,399.50 and 182,623.13 is: 390,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,399.50 : 182,623.13 = 182,623.13 : x
  2. Step 2: Convert to fraction form
    85,399.50/182,623.13 = 182,623.13/x
  3. Step 3: Cross multiply
    85,399.50x = 182,623.13 × 182,623.13
  4. Step 4: Simplify right side
    85,399.50x = 33,351,205,784.77
  5. Step 5: Solve for x
    x = 33,351,205,784.77/85,399.50
  6. Step 6: Final answer
    x = 390,531.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.