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Finding the Third Proportional to 147,826.75 and 324,266.50

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Solution

The third proportional to 147,826.75 and 324,266.50 is: 711,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,826.75 : 324,266.50 = 324,266.50 : x
  2. Step 2: Convert to fraction form
    147,826.75/324,266.50 = 324,266.50/x
  3. Step 3: Cross multiply
    147,826.75x = 324,266.50 × 324,266.50
  4. Step 4: Simplify right side
    147,826.75x = 105,148,763,022.25
  5. Step 5: Solve for x
    x = 105,148,763,022.25/147,826.75
  6. Step 6: Final answer
    x = 711,297.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.