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Finding the Third Proportional to 78,118 and 167,307

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Solution

The third proportional to 78,118 and 167,307 is: 358,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,118 : 167,307 = 167,307 : x
  2. Step 2: Convert to fraction form
    78,118/167,307 = 167,307/x
  3. Step 3: Cross multiply
    78,118x = 167,307 × 167,307
  4. Step 4: Simplify right side
    78,118x = 27,991,632,249
  5. Step 5: Solve for x
    x = 27,991,632,249/78,118
  6. Step 6: Final answer
    x = 358,325.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.