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Finding the Third Proportional to 147,996 and 319,634

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Solution

The third proportional to 147,996 and 319,634 is: 690,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,996 : 319,634 = 319,634 : x
  2. Step 2: Convert to fraction form
    147,996/319,634 = 319,634/x
  3. Step 3: Cross multiply
    147,996x = 319,634 × 319,634
  4. Step 4: Simplify right side
    147,996x = 102,165,893,956
  5. Step 5: Solve for x
    x = 102,165,893,956/147,996
  6. Step 6: Final answer
    x = 690,328.75

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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.