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Finding the Third Proportional to 170,224 and 370,298

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Solution

The third proportional to 170,224 and 370,298 is: 805,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,224 : 370,298 = 370,298 : x
  2. Step 2: Convert to fraction form
    170,224/370,298 = 370,298/x
  3. Step 3: Cross multiply
    170,224x = 370,298 × 370,298
  4. Step 4: Simplify right side
    170,224x = 137,120,608,804
  5. Step 5: Solve for x
    x = 137,120,608,804/170,224
  6. Step 6: Final answer
    x = 805,530.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.