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Finding the Third Proportional to 83,862 and 183,276

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Solution

The third proportional to 83,862 and 183,276 is: 400,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,862 : 183,276 = 183,276 : x
  2. Step 2: Convert to fraction form
    83,862/183,276 = 183,276/x
  3. Step 3: Cross multiply
    83,862x = 183,276 × 183,276
  4. Step 4: Simplify right side
    83,862x = 33,590,092,176
  5. Step 5: Solve for x
    x = 33,590,092,176/83,862
  6. Step 6: Final answer
    x = 400,540.08

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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.