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Finding the Third Proportional to 183,288 and 413,868

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Solution

The third proportional to 183,288 and 413,868 is: 934,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,288 : 413,868 = 413,868 : x
  2. Step 2: Convert to fraction form
    183,288/413,868 = 413,868/x
  3. Step 3: Cross multiply
    183,288x = 413,868 × 413,868
  4. Step 4: Simplify right side
    183,288x = 171,286,721,424
  5. Step 5: Solve for x
    x = 171,286,721,424/183,288
  6. Step 6: Final answer
    x = 934,522.29

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.