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Finding the Third Proportional to 164,170.13 and 244,066.50

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Solution

The third proportional to 164,170.13 and 244,066.50 is: 362,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,170.13 : 244,066.50 = 244,066.50 : x
  2. Step 2: Convert to fraction form
    164,170.13/244,066.50 = 244,066.50/x
  3. Step 3: Cross multiply
    164,170.13x = 244,066.50 × 244,066.50
  4. Step 4: Simplify right side
    164,170.13x = 59,568,456,422.25
  5. Step 5: Solve for x
    x = 59,568,456,422.25/164,170.13
  6. Step 6: Final answer
    x = 362,845.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.