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Finding the Third Proportional to 174,019 and 231,382

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Solution

The third proportional to 174,019 and 231,382 is: 307,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,019 : 231,382 = 231,382 : x
  2. Step 2: Convert to fraction form
    174,019/231,382 = 231,382/x
  3. Step 3: Cross multiply
    174,019x = 231,382 × 231,382
  4. Step 4: Simplify right side
    174,019x = 53,537,629,924
  5. Step 5: Solve for x
    x = 53,537,629,924/174,019
  6. Step 6: Final answer
    x = 307,653.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.