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Finding the Third Proportional to 134,365 and 194,235

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Solution

The third proportional to 134,365 and 194,235 is: 280,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,365 : 194,235 = 194,235 : x
  2. Step 2: Convert to fraction form
    134,365/194,235 = 194,235/x
  3. Step 3: Cross multiply
    134,365x = 194,235 × 194,235
  4. Step 4: Simplify right side
    134,365x = 37,727,235,225
  5. Step 5: Solve for x
    x = 37,727,235,225/134,365
  6. Step 6: Final answer
    x = 280,781.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.