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Finding the Third Proportional to 165,932 and 250,094

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Solution

The third proportional to 165,932 and 250,094 is: 376,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,932 : 250,094 = 250,094 : x
  2. Step 2: Convert to fraction form
    165,932/250,094 = 250,094/x
  3. Step 3: Cross multiply
    165,932x = 250,094 × 250,094
  4. Step 4: Simplify right side
    165,932x = 62,547,008,836
  5. Step 5: Solve for x
    x = 62,547,008,836/165,932
  6. Step 6: Final answer
    x = 376,943.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.