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Finding the Third Proportional to 168,535.69 and 369,261.28

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Solution

The third proportional to 168,535.69 and 369,261.28 is: 809,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,535.69 : 369,261.28 = 369,261.28 : x
  2. Step 2: Convert to fraction form
    168,535.69/369,261.28 = 369,261.28/x
  3. Step 3: Cross multiply
    168,535.69x = 369,261.28 × 369,261.28
  4. Step 4: Simplify right side
    168,535.69x = 136,353,893,830.39
  5. Step 5: Solve for x
    x = 136,353,893,830.39/168,535.69
  6. Step 6: Final answer
    x = 809,050.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.