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Finding the Third Proportional to 118,344 and 166,459.50

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Solution

The third proportional to 118,344 and 166,459.50 is: 234,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,344 : 166,459.50 = 166,459.50 : x
  2. Step 2: Convert to fraction form
    118,344/166,459.50 = 166,459.50/x
  3. Step 3: Cross multiply
    118,344x = 166,459.50 × 166,459.50
  4. Step 4: Simplify right side
    118,344x = 27,708,765,140.25
  5. Step 5: Solve for x
    x = 27,708,765,140.25/118,344
  6. Step 6: Final answer
    x = 234,137.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.