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Finding the Third Proportional to 106,146 and 230,706

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Solution

The third proportional to 106,146 and 230,706 is: 501,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,146 : 230,706 = 230,706 : x
  2. Step 2: Convert to fraction form
    106,146/230,706 = 230,706/x
  3. Step 3: Cross multiply
    106,146x = 230,706 × 230,706
  4. Step 4: Simplify right side
    106,146x = 53,225,258,436
  5. Step 5: Solve for x
    x = 53,225,258,436/106,146
  6. Step 6: Final answer
    x = 501,434.42

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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.