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Finding the Third Proportional to 170,997.19 and 255,538.69

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Solution

The third proportional to 170,997.19 and 255,538.69 is: 381,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,997.19 : 255,538.69 = 255,538.69 : x
  2. Step 2: Convert to fraction form
    170,997.19/255,538.69 = 255,538.69/x
  3. Step 3: Cross multiply
    170,997.19x = 255,538.69 × 255,538.69
  4. Step 4: Simplify right side
    170,997.19x = 65,300,020,809.22
  5. Step 5: Solve for x
    x = 65,300,020,809.22/170,997.19
  6. Step 6: Final answer
    x = 381,877.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.