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Finding the Third Proportional to 150,576.75 and 221,701.50

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Solution

The third proportional to 150,576.75 and 221,701.50 is: 326,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,576.75 : 221,701.50 = 221,701.50 : x
  2. Step 2: Convert to fraction form
    150,576.75/221,701.50 = 221,701.50/x
  3. Step 3: Cross multiply
    150,576.75x = 221,701.50 × 221,701.50
  4. Step 4: Simplify right side
    150,576.75x = 49,151,555,102.25
  5. Step 5: Solve for x
    x = 49,151,555,102.25/150,576.75
  6. Step 6: Final answer
    x = 326,421.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.