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Finding the Third Proportional to 150,569 and 334,353

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Solution

The third proportional to 150,569 and 334,353 is: 742,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,569 : 334,353 = 334,353 : x
  2. Step 2: Convert to fraction form
    150,569/334,353 = 334,353/x
  3. Step 3: Cross multiply
    150,569x = 334,353 × 334,353
  4. Step 4: Simplify right side
    150,569x = 111,791,928,609
  5. Step 5: Solve for x
    x = 111,791,928,609/150,569
  6. Step 6: Final answer
    x = 742,463.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.