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Finding the Third Proportional to 140,016 and 211,036.50

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Solution

The third proportional to 140,016 and 211,036.50 is: 318,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,016 : 211,036.50 = 211,036.50 : x
  2. Step 2: Convert to fraction form
    140,016/211,036.50 = 211,036.50/x
  3. Step 3: Cross multiply
    140,016x = 211,036.50 × 211,036.50
  4. Step 4: Simplify right side
    140,016x = 44,536,404,332.25
  5. Step 5: Solve for x
    x = 44,536,404,332.25/140,016
  6. Step 6: Final answer
    x = 318,080.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.