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Finding the Third Proportional to 258,151 and 362,893

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Solution

The third proportional to 258,151 and 362,893 is: 510,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,151 : 362,893 = 362,893 : x
  2. Step 2: Convert to fraction form
    258,151/362,893 = 362,893/x
  3. Step 3: Cross multiply
    258,151x = 362,893 × 362,893
  4. Step 4: Simplify right side
    258,151x = 131,691,329,449
  5. Step 5: Solve for x
    x = 131,691,329,449/258,151
  6. Step 6: Final answer
    x = 510,132.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.