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Finding the Third Proportional to 147,753 and 326,610

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Solution

The third proportional to 147,753 and 326,610 is: 721,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,753 : 326,610 = 326,610 : x
  2. Step 2: Convert to fraction form
    147,753/326,610 = 326,610/x
  3. Step 3: Cross multiply
    147,753x = 326,610 × 326,610
  4. Step 4: Simplify right side
    147,753x = 106,674,092,100
  5. Step 5: Solve for x
    x = 106,674,092,100/147,753
  6. Step 6: Final answer
    x = 721,975.81

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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.