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Finding the Third Proportional to 314,937.75 and 324,009.75

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Solution

The third proportional to 314,937.75 and 324,009.75 is: 333,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,937.75 : 324,009.75 = 324,009.75 : x
  2. Step 2: Convert to fraction form
    314,937.75/324,009.75 = 324,009.75/x
  3. Step 3: Cross multiply
    314,937.75x = 324,009.75 × 324,009.75
  4. Step 4: Simplify right side
    314,937.75x = 104,982,318,095.06
  5. Step 5: Solve for x
    x = 104,982,318,095.06/314,937.75
  6. Step 6: Final answer
    x = 333,343.08

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These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.