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Finding the Third Proportional to 147,493 and 321,776

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Solution

The third proportional to 147,493 and 321,776 is: 701,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,493 : 321,776 = 321,776 : x
  2. Step 2: Convert to fraction form
    147,493/321,776 = 321,776/x
  3. Step 3: Cross multiply
    147,493x = 321,776 × 321,776
  4. Step 4: Simplify right side
    147,493x = 103,539,794,176
  5. Step 5: Solve for x
    x = 103,539,794,176/147,493
  6. Step 6: Final answer
    x = 701,998.02

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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.