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Finding the Third Proportional to 141,254 and 213,154.75

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Solution

The third proportional to 141,254 and 213,154.75 is: 321,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,254 : 213,154.75 = 213,154.75 : x
  2. Step 2: Convert to fraction form
    141,254/213,154.75 = 213,154.75/x
  3. Step 3: Cross multiply
    141,254x = 213,154.75 × 213,154.75
  4. Step 4: Simplify right side
    141,254x = 45,434,947,447.56
  5. Step 5: Solve for x
    x = 45,434,947,447.56/141,254
  6. Step 6: Final answer
    x = 321,654.24

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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.