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Finding the Third Proportional to 156,673 and 321,640

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Solution

The third proportional to 156,673 and 321,640 is: 660,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,673 : 321,640 = 321,640 : x
  2. Step 2: Convert to fraction form
    156,673/321,640 = 321,640/x
  3. Step 3: Cross multiply
    156,673x = 321,640 × 321,640
  4. Step 4: Simplify right side
    156,673x = 103,452,289,600
  5. Step 5: Solve for x
    x = 103,452,289,600/156,673
  6. Step 6: Final answer
    x = 660,307.07

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.