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Finding the Third Proportional to 147,333.75 and 321,654.75

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Solution

The third proportional to 147,333.75 and 321,654.75 is: 702,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,333.75 : 321,654.75 = 321,654.75 : x
  2. Step 2: Convert to fraction form
    147,333.75/321,654.75 = 321,654.75/x
  3. Step 3: Cross multiply
    147,333.75x = 321,654.75 × 321,654.75
  4. Step 4: Simplify right side
    147,333.75x = 103,461,778,197.56
  5. Step 5: Solve for x
    x = 103,461,778,197.56/147,333.75
  6. Step 6: Final answer
    x = 702,227.28

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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.