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Finding the Third Proportional to 147,333.38 and 321,654.38

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Solution

The third proportional to 147,333.38 and 321,654.38 is: 702,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,333.38 : 321,654.38 = 321,654.38 : x
  2. Step 2: Convert to fraction form
    147,333.38/321,654.38 = 321,654.38/x
  3. Step 3: Cross multiply
    147,333.38x = 321,654.38 × 321,654.38
  4. Step 4: Simplify right side
    147,333.38x = 103,461,536,956.64
  5. Step 5: Solve for x
    x = 103,461,536,956.64/147,333.38
  6. Step 6: Final answer
    x = 702,227.43

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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.