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Finding the Third Proportional to 170,190 and 370,224

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Solution

The third proportional to 170,190 and 370,224 is: 805,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,190 : 370,224 = 370,224 : x
  2. Step 2: Convert to fraction form
    170,190/370,224 = 370,224/x
  3. Step 3: Cross multiply
    170,190x = 370,224 × 370,224
  4. Step 4: Simplify right side
    170,190x = 137,065,810,176
  5. Step 5: Solve for x
    x = 137,065,810,176/170,190
  6. Step 6: Final answer
    x = 805,369.35

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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.