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Finding the Third Proportional to 183,032 and 335,689

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Solution

The third proportional to 183,032 and 335,689 is: 615,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,032 : 335,689 = 335,689 : x
  2. Step 2: Convert to fraction form
    183,032/335,689 = 335,689/x
  3. Step 3: Cross multiply
    183,032x = 335,689 × 335,689
  4. Step 4: Simplify right side
    183,032x = 112,687,104,721
  5. Step 5: Solve for x
    x = 112,687,104,721/183,032
  6. Step 6: Final answer
    x = 615,668.87

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.