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Finding the Third Proportional to 146,397 and 319,566

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Solution

The third proportional to 146,397 and 319,566 is: 697,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,397 : 319,566 = 319,566 : x
  2. Step 2: Convert to fraction form
    146,397/319,566 = 319,566/x
  3. Step 3: Cross multiply
    146,397x = 319,566 × 319,566
  4. Step 4: Simplify right side
    146,397x = 102,122,428,356
  5. Step 5: Solve for x
    x = 102,122,428,356/146,397
  6. Step 6: Final answer
    x = 697,571.87

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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.