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Finding the Third Proportional to 170,838.75 and 362,700

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Solution

The third proportional to 170,838.75 and 362,700 is: 770,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838.75 : 362,700 = 362,700 : x
  2. Step 2: Convert to fraction form
    170,838.75/362,700 = 362,700/x
  3. Step 3: Cross multiply
    170,838.75x = 362,700 × 362,700
  4. Step 4: Simplify right side
    170,838.75x = 131,551,290,000
  5. Step 5: Solve for x
    x = 131,551,290,000/170,838.75
  6. Step 6: Final answer
    x = 770,031.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.