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Finding the Third Proportional to 147,751 and 326,606

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Solution

The third proportional to 147,751 and 326,606 is: 721,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,751 : 326,606 = 326,606 : x
  2. Step 2: Convert to fraction form
    147,751/326,606 = 326,606/x
  3. Step 3: Cross multiply
    147,751x = 326,606 × 326,606
  4. Step 4: Simplify right side
    147,751x = 106,671,479,236
  5. Step 5: Solve for x
    x = 106,671,479,236/147,751
  6. Step 6: Final answer
    x = 721,967.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.