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Finding the Third Proportional to 83,838 and 183,228

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Solution

The third proportional to 83,838 and 183,228 is: 400,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838 : 183,228 = 183,228 : x
  2. Step 2: Convert to fraction form
    83,838/183,228 = 183,228/x
  3. Step 3: Cross multiply
    83,838x = 183,228 × 183,228
  4. Step 4: Simplify right side
    83,838x = 33,572,499,984
  5. Step 5: Solve for x
    x = 33,572,499,984/83,838
  6. Step 6: Final answer
    x = 400,444.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.