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Finding the Third Proportional to 158,936 and 362,352

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Solution

The third proportional to 158,936 and 362,352 is: 826,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,936 : 362,352 = 362,352 : x
  2. Step 2: Convert to fraction form
    158,936/362,352 = 362,352/x
  3. Step 3: Cross multiply
    158,936x = 362,352 × 362,352
  4. Step 4: Simplify right side
    158,936x = 131,298,971,904
  5. Step 5: Solve for x
    x = 131,298,971,904/158,936
  6. Step 6: Final answer
    x = 826,112.22

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.