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Finding the Third Proportional to 106,822 and 233,495

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Solution

The third proportional to 106,822 and 233,495 is: 510,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,822 : 233,495 = 233,495 : x
  2. Step 2: Convert to fraction form
    106,822/233,495 = 233,495/x
  3. Step 3: Cross multiply
    106,822x = 233,495 × 233,495
  4. Step 4: Simplify right side
    106,822x = 54,519,915,025
  5. Step 5: Solve for x
    x = 54,519,915,025/106,822
  6. Step 6: Final answer
    x = 510,380.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.