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Finding the Third Proportional to 147,811.50 and 335,083.50

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Solution

The third proportional to 147,811.50 and 335,083.50 is: 759,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,811.50 : 335,083.50 = 335,083.50 : x
  2. Step 2: Convert to fraction form
    147,811.50/335,083.50 = 335,083.50/x
  3. Step 3: Cross multiply
    147,811.50x = 335,083.50 × 335,083.50
  4. Step 4: Simplify right side
    147,811.50x = 112,280,951,972.25
  5. Step 5: Solve for x
    x = 112,280,951,972.25/147,811.50
  6. Step 6: Final answer
    x = 759,622.57

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.