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Finding the Third Proportional to 114,817 and 181,027.50

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Solution

The third proportional to 114,817 and 181,027.50 is: 285,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,817 : 181,027.50 = 181,027.50 : x
  2. Step 2: Convert to fraction form
    114,817/181,027.50 = 181,027.50/x
  3. Step 3: Cross multiply
    114,817x = 181,027.50 × 181,027.50
  4. Step 4: Simplify right side
    114,817x = 32,770,955,756.25
  5. Step 5: Solve for x
    x = 32,770,955,756.25/114,817
  6. Step 6: Final answer
    x = 285,419.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.