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Finding the Third Proportional to 181,535.50 and 265,857

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Solution

The third proportional to 181,535.50 and 265,857 is: 389,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,535.50 : 265,857 = 265,857 : x
  2. Step 2: Convert to fraction form
    181,535.50/265,857 = 265,857/x
  3. Step 3: Cross multiply
    181,535.50x = 265,857 × 265,857
  4. Step 4: Simplify right side
    181,535.50x = 70,679,944,449
  5. Step 5: Solve for x
    x = 70,679,944,449/181,535.50
  6. Step 6: Final answer
    x = 389,345.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.