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Finding the Third Proportional to 147,331.13 and 321,649.88

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Solution

The third proportional to 147,331.13 and 321,649.88 is: 702,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,331.13 : 321,649.88 = 321,649.88 : x
  2. Step 2: Convert to fraction form
    147,331.13/321,649.88 = 321,649.88/x
  3. Step 3: Cross multiply
    147,331.13x = 321,649.88 × 321,649.88
  4. Step 4: Simplify right side
    147,331.13x = 103,458,642,087.52
  5. Step 5: Solve for x
    x = 103,458,642,087.52/147,331.13
  6. Step 6: Final answer
    x = 702,218.50

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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.