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Finding the Third Proportional to 146,066.16 and 218,515.31

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Solution

The third proportional to 146,066.16 and 218,515.31 is: 326,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,066.16 : 218,515.31 = 218,515.31 : x
  2. Step 2: Convert to fraction form
    146,066.16/218,515.31 = 218,515.31/x
  3. Step 3: Cross multiply
    146,066.16x = 218,515.31 × 218,515.31
  4. Step 4: Simplify right side
    146,066.16x = 47,748,941,796.97
  5. Step 5: Solve for x
    x = 47,748,941,796.97/146,066.16
  6. Step 6: Final answer
    x = 326,899.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.