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Finding the Third Proportional to 140,096.25 and 211,602.38

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Solution

The third proportional to 140,096.25 and 211,602.38 is: 319,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,096.25 : 211,602.38 = 211,602.38 : x
  2. Step 2: Convert to fraction form
    140,096.25/211,602.38 = 211,602.38/x
  3. Step 3: Cross multiply
    140,096.25x = 211,602.38 × 211,602.38
  4. Step 4: Simplify right side
    140,096.25x = 44,775,565,105.64
  5. Step 5: Solve for x
    x = 44,775,565,105.64/140,096.25
  6. Step 6: Final answer
    x = 319,605.74

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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.