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Finding the Third Proportional to 106,898 and 233,844

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Solution

The third proportional to 106,898 and 233,844 is: 511,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,898 : 233,844 = 233,844 : x
  2. Step 2: Convert to fraction form
    106,898/233,844 = 233,844/x
  3. Step 3: Cross multiply
    106,898x = 233,844 × 233,844
  4. Step 4: Simplify right side
    106,898x = 54,683,016,336
  5. Step 5: Solve for x
    x = 54,683,016,336/106,898
  6. Step 6: Final answer
    x = 511,543.87

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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.