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Finding the Third Proportional to 78,350 and 184,918

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Solution

The third proportional to 78,350 and 184,918 is: 436,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,350 : 184,918 = 184,918 : x
  2. Step 2: Convert to fraction form
    78,350/184,918 = 184,918/x
  3. Step 3: Cross multiply
    78,350x = 184,918 × 184,918
  4. Step 4: Simplify right side
    78,350x = 34,194,666,724
  5. Step 5: Solve for x
    x = 34,194,666,724/78,350
  6. Step 6: Final answer
    x = 436,434.80

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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.