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Finding the Third Proportional to 155,784 and 337,812

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Solution

The third proportional to 155,784 and 337,812 is: 732,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,784 : 337,812 = 337,812 : x
  2. Step 2: Convert to fraction form
    155,784/337,812 = 337,812/x
  3. Step 3: Cross multiply
    155,784x = 337,812 × 337,812
  4. Step 4: Simplify right side
    155,784x = 114,116,947,344
  5. Step 5: Solve for x
    x = 114,116,947,344/155,784
  6. Step 6: Final answer
    x = 732,533.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.