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Finding the Third Proportional to 134,085.50 and 198,807.50

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Solution

The third proportional to 134,085.50 and 198,807.50 is: 294,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,085.50 : 198,807.50 = 198,807.50 : x
  2. Step 2: Convert to fraction form
    134,085.50/198,807.50 = 198,807.50/x
  3. Step 3: Cross multiply
    134,085.50x = 198,807.50 × 198,807.50
  4. Step 4: Simplify right side
    134,085.50x = 39,524,422,056.25
  5. Step 5: Solve for x
    x = 39,524,422,056.25/134,085.50
  6. Step 6: Final answer
    x = 294,770.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.