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Finding the Third Proportional to 78,374 and 184,982

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Solution

The third proportional to 78,374 and 184,982 is: 436,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,374 : 184,982 = 184,982 : x
  2. Step 2: Convert to fraction form
    78,374/184,982 = 184,982/x
  3. Step 3: Cross multiply
    78,374x = 184,982 × 184,982
  4. Step 4: Simplify right side
    78,374x = 34,218,340,324
  5. Step 5: Solve for x
    x = 34,218,340,324/78,374
  6. Step 6: Final answer
    x = 436,603.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.