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Finding the Third Proportional to 134,364.19 and 194,233.50

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Solution

The third proportional to 134,364.19 and 194,233.50 is: 280,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,364.19 : 194,233.50 = 194,233.50 : x
  2. Step 2: Convert to fraction form
    134,364.19/194,233.50 = 194,233.50/x
  3. Step 3: Cross multiply
    134,364.19x = 194,233.50 × 194,233.50
  4. Step 4: Simplify right side
    134,364.19x = 37,726,652,522.25
  5. Step 5: Solve for x
    x = 37,726,652,522.25/134,364.19
  6. Step 6: Final answer
    x = 280,779.08

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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.