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Finding the Third Proportional to 147,922.88 and 324,002.25

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Solution

The third proportional to 147,922.88 and 324,002.25 is: 709,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,922.88 : 324,002.25 = 324,002.25 : x
  2. Step 2: Convert to fraction form
    147,922.88/324,002.25 = 324,002.25/x
  3. Step 3: Cross multiply
    147,922.88x = 324,002.25 × 324,002.25
  4. Step 4: Simplify right side
    147,922.88x = 104,977,458,005.06
  5. Step 5: Solve for x
    x = 104,977,458,005.06/147,922.88
  6. Step 6: Final answer
    x = 709,676.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.