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Finding the Third Proportional to 188,277 and 293,531

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Solution

The third proportional to 188,277 and 293,531 is: 457,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,277 : 293,531 = 293,531 : x
  2. Step 2: Convert to fraction form
    188,277/293,531 = 293,531/x
  3. Step 3: Cross multiply
    188,277x = 293,531 × 293,531
  4. Step 4: Simplify right side
    188,277x = 86,160,447,961
  5. Step 5: Solve for x
    x = 86,160,447,961/188,277
  6. Step 6: Final answer
    x = 457,625.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.