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Finding the Third Proportional to 146,249 and 319,264

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Solution

The third proportional to 146,249 and 319,264 is: 696,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,249 : 319,264 = 319,264 : x
  2. Step 2: Convert to fraction form
    146,249/319,264 = 319,264/x
  3. Step 3: Cross multiply
    146,249x = 319,264 × 319,264
  4. Step 4: Simplify right side
    146,249x = 101,929,501,696
  5. Step 5: Solve for x
    x = 101,929,501,696/146,249
  6. Step 6: Final answer
    x = 696,958.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.