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Finding the Third Proportional to 154,748.25 and 339,021.75

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Solution

The third proportional to 154,748.25 and 339,021.75 is: 742,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,748.25 : 339,021.75 = 339,021.75 : x
  2. Step 2: Convert to fraction form
    154,748.25/339,021.75 = 339,021.75/x
  3. Step 3: Cross multiply
    154,748.25x = 339,021.75 × 339,021.75
  4. Step 4: Simplify right side
    154,748.25x = 114,935,746,973.06
  5. Step 5: Solve for x
    x = 114,935,746,973.06/154,748.25
  6. Step 6: Final answer
    x = 742,727.28

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