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Finding the Third Proportional to 153,350 and 333,700

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Solution

The third proportional to 153,350 and 333,700 is: 726,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,350 : 333,700 = 333,700 : x
  2. Step 2: Convert to fraction form
    153,350/333,700 = 333,700/x
  3. Step 3: Cross multiply
    153,350x = 333,700 × 333,700
  4. Step 4: Simplify right side
    153,350x = 111,355,690,000
  5. Step 5: Solve for x
    x = 111,355,690,000/153,350
  6. Step 6: Final answer
    x = 726,153.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.