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Finding the Third Proportional to 178,809 and 386,656.50

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Solution

The third proportional to 178,809 and 386,656.50 is: 836,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,809 : 386,656.50 = 386,656.50 : x
  2. Step 2: Convert to fraction form
    178,809/386,656.50 = 386,656.50/x
  3. Step 3: Cross multiply
    178,809x = 386,656.50 × 386,656.50
  4. Step 4: Simplify right side
    178,809x = 149,503,248,992.25
  5. Step 5: Solve for x
    x = 149,503,248,992.25/178,809
  6. Step 6: Final answer
    x = 836,105.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.