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Finding the Third Proportional to 147,964.22 and 326,090.81

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Solution

The third proportional to 147,964.22 and 326,090.81 is: 718,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,964.22 : 326,090.81 = 326,090.81 : x
  2. Step 2: Convert to fraction form
    147,964.22/326,090.81 = 326,090.81/x
  3. Step 3: Cross multiply
    147,964.22x = 326,090.81 × 326,090.81
  4. Step 4: Simplify right side
    147,964.22x = 106,335,217,996.91
  5. Step 5: Solve for x
    x = 106,335,217,996.91/147,964.22
  6. Step 6: Final answer
    x = 718,654.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.