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Finding the Third Proportional to 83,157 and 182,417

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Solution

The third proportional to 83,157 and 182,417 is: 400,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,157 : 182,417 = 182,417 : x
  2. Step 2: Convert to fraction form
    83,157/182,417 = 182,417/x
  3. Step 3: Cross multiply
    83,157x = 182,417 × 182,417
  4. Step 4: Simplify right side
    83,157x = 33,275,961,889
  5. Step 5: Solve for x
    x = 33,275,961,889/83,157
  6. Step 6: Final answer
    x = 400,158.28

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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.