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Finding the Third Proportional to 76,464 and 158,305

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Solution

The third proportional to 76,464 and 158,305 is: 327,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464 : 158,305 = 158,305 : x
  2. Step 2: Convert to fraction form
    76,464/158,305 = 158,305/x
  3. Step 3: Cross multiply
    76,464x = 158,305 × 158,305
  4. Step 4: Simplify right side
    76,464x = 25,060,473,025
  5. Step 5: Solve for x
    x = 25,060,473,025/76,464
  6. Step 6: Final answer
    x = 327,742.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.