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Finding the Third Proportional to 144,844.13 and 212,080.88

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Solution

The third proportional to 144,844.13 and 212,080.88 is: 310,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,844.13 : 212,080.88 = 212,080.88 : x
  2. Step 2: Convert to fraction form
    144,844.13/212,080.88 = 212,080.88/x
  3. Step 3: Cross multiply
    144,844.13x = 212,080.88 × 212,080.88
  4. Step 4: Simplify right side
    144,844.13x = 44,978,297,540.77
  5. Step 5: Solve for x
    x = 44,978,297,540.77/144,844.13
  6. Step 6: Final answer
    x = 310,528.97

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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.