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Finding the Third Proportional to 134,932.50 and 197,214.75

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Solution

The third proportional to 134,932.50 and 197,214.75 is: 288,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,932.50 : 197,214.75 = 197,214.75 : x
  2. Step 2: Convert to fraction form
    134,932.50/197,214.75 = 197,214.75/x
  3. Step 3: Cross multiply
    134,932.50x = 197,214.75 × 197,214.75
  4. Step 4: Simplify right side
    134,932.50x = 38,893,657,617.56
  5. Step 5: Solve for x
    x = 38,893,657,617.56/134,932.50
  6. Step 6: Final answer
    x = 288,245.29

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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.