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Finding the Third Proportional to 111,298 and 170,628

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Solution

The third proportional to 111,298 and 170,628 is: 261,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,298 : 170,628 = 170,628 : x
  2. Step 2: Convert to fraction form
    111,298/170,628 = 170,628/x
  3. Step 3: Cross multiply
    111,298x = 170,628 × 170,628
  4. Step 4: Simplify right side
    111,298x = 29,113,914,384
  5. Step 5: Solve for x
    x = 29,113,914,384/111,298
  6. Step 6: Final answer
    x = 261,585.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.