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Finding the Third Proportional to 83,958 and 183,324

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Solution

The third proportional to 83,958 and 183,324 is: 400,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,958 : 183,324 = 183,324 : x
  2. Step 2: Convert to fraction form
    83,958/183,324 = 183,324/x
  3. Step 3: Cross multiply
    83,958x = 183,324 × 183,324
  4. Step 4: Simplify right side
    83,958x = 33,607,688,976
  5. Step 5: Solve for x
    x = 33,607,688,976/83,958
  6. Step 6: Final answer
    x = 400,291.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.