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Finding the Third Proportional to 78,336 and 184,887

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Solution

The third proportional to 78,336 and 184,887 is: 436,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,336 : 184,887 = 184,887 : x
  2. Step 2: Convert to fraction form
    78,336/184,887 = 184,887/x
  3. Step 3: Cross multiply
    78,336x = 184,887 × 184,887
  4. Step 4: Simplify right side
    78,336x = 34,183,202,769
  5. Step 5: Solve for x
    x = 34,183,202,769/78,336
  6. Step 6: Final answer
    x = 436,366.46

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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.