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Finding the Third Proportional to 170,185.50 and 370,215

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Solution

The third proportional to 170,185.50 and 370,215 is: 805,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,185.50 : 370,215 = 370,215 : x
  2. Step 2: Convert to fraction form
    170,185.50/370,215 = 370,215/x
  3. Step 3: Cross multiply
    170,185.50x = 370,215 × 370,215
  4. Step 4: Simplify right side
    170,185.50x = 137,059,146,225
  5. Step 5: Solve for x
    x = 137,059,146,225/170,185.50
  6. Step 6: Final answer
    x = 805,351.49

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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.