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Finding the Third Proportional to 170,224.50 and 256,071

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Solution

The third proportional to 170,224.50 and 256,071 is: 385,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,224.50 : 256,071 = 256,071 : x
  2. Step 2: Convert to fraction form
    170,224.50/256,071 = 256,071/x
  3. Step 3: Cross multiply
    170,224.50x = 256,071 × 256,071
  4. Step 4: Simplify right side
    170,224.50x = 65,572,357,041
  5. Step 5: Solve for x
    x = 65,572,357,041/170,224.50
  6. Step 6: Final answer
    x = 385,211.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.