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Finding the Third Proportional to 106,948 and 232,371

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Solution

The third proportional to 106,948 and 232,371 is: 504,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,948 : 232,371 = 232,371 : x
  2. Step 2: Convert to fraction form
    106,948/232,371 = 232,371/x
  3. Step 3: Cross multiply
    106,948x = 232,371 × 232,371
  4. Step 4: Simplify right side
    106,948x = 53,996,281,641
  5. Step 5: Solve for x
    x = 53,996,281,641/106,948
  6. Step 6: Final answer
    x = 504,883.51

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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.