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Finding the Third Proportional to 169,489.26 and 364,923.74

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Solution

The third proportional to 169,489.26 and 364,923.74 is: 785,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,489.26 : 364,923.74 = 364,923.74 : x
  2. Step 2: Convert to fraction form
    169,489.26/364,923.74 = 364,923.74/x
  3. Step 3: Cross multiply
    169,489.26x = 364,923.74 × 364,923.74
  4. Step 4: Simplify right side
    169,489.26x = 133,169,335,312.42
  5. Step 5: Solve for x
    x = 133,169,335,312.42/169,489.26
  6. Step 6: Final answer
    x = 785,709.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.