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Finding the Third Proportional to 106,670 and 233,022

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Solution

The third proportional to 106,670 and 233,022 is: 509,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,670 : 233,022 = 233,022 : x
  2. Step 2: Convert to fraction form
    106,670/233,022 = 233,022/x
  3. Step 3: Cross multiply
    106,670x = 233,022 × 233,022
  4. Step 4: Simplify right side
    106,670x = 54,299,252,484
  5. Step 5: Solve for x
    x = 54,299,252,484/106,670
  6. Step 6: Final answer
    x = 509,039.58

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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.