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Finding the Third Proportional to 163,971 and 215,298

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Solution

The third proportional to 163,971 and 215,298 is: 282,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,971 : 215,298 = 215,298 : x
  2. Step 2: Convert to fraction form
    163,971/215,298 = 215,298/x
  3. Step 3: Cross multiply
    163,971x = 215,298 × 215,298
  4. Step 4: Simplify right side
    163,971x = 46,353,228,804
  5. Step 5: Solve for x
    x = 46,353,228,804/163,971
  6. Step 6: Final answer
    x = 282,691.63

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.