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Finding the Third Proportional to 155,096 and 334,951

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Solution

The third proportional to 155,096 and 334,951 is: 723,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,096 : 334,951 = 334,951 : x
  2. Step 2: Convert to fraction form
    155,096/334,951 = 334,951/x
  3. Step 3: Cross multiply
    155,096x = 334,951 × 334,951
  4. Step 4: Simplify right side
    155,096x = 112,192,172,401
  5. Step 5: Solve for x
    x = 112,192,172,401/155,096
  6. Step 6: Final answer
    x = 723,372.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.