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Finding the Third Proportional to 147,949.03 and 323,873.44

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Solution

The third proportional to 147,949.03 and 323,873.44 is: 708,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,949.03 : 323,873.44 = 323,873.44 : x
  2. Step 2: Convert to fraction form
    147,949.03/323,873.44 = 323,873.44/x
  3. Step 3: Cross multiply
    147,949.03x = 323,873.44 × 323,873.44
  4. Step 4: Simplify right side
    147,949.03x = 104,894,003,518.07
  5. Step 5: Solve for x
    x = 104,894,003,518.07/147,949.03
  6. Step 6: Final answer
    x = 708,987.43

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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.