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Finding the Third Proportional to 78,368 and 184,967

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Solution

The third proportional to 78,368 and 184,967 is: 436,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368 : 184,967 = 184,967 : x
  2. Step 2: Convert to fraction form
    78,368/184,967 = 184,967/x
  3. Step 3: Cross multiply
    78,368x = 184,967 × 184,967
  4. Step 4: Simplify right side
    78,368x = 34,212,791,089
  5. Step 5: Solve for x
    x = 34,212,791,089/78,368
  6. Step 6: Final answer
    x = 436,565.83

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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.