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Finding the Third Proportional to 134,281.50 and 194,194.50

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Solution

The third proportional to 134,281.50 and 194,194.50 is: 280,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,281.50 : 194,194.50 = 194,194.50 : x
  2. Step 2: Convert to fraction form
    134,281.50/194,194.50 = 194,194.50/x
  3. Step 3: Cross multiply
    134,281.50x = 194,194.50 × 194,194.50
  4. Step 4: Simplify right side
    134,281.50x = 37,711,503,830.25
  5. Step 5: Solve for x
    x = 37,711,503,830.25/134,281.50
  6. Step 6: Final answer
    x = 280,839.16

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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.