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Finding the Third Proportional to 314,934.75 and 324,006.75

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Solution

The third proportional to 314,934.75 and 324,006.75 is: 333,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,934.75 : 324,006.75 = 324,006.75 : x
  2. Step 2: Convert to fraction form
    314,934.75/324,006.75 = 324,006.75/x
  3. Step 3: Cross multiply
    314,934.75x = 324,006.75 × 324,006.75
  4. Step 4: Simplify right side
    314,934.75x = 104,980,374,045.56
  5. Step 5: Solve for x
    x = 104,980,374,045.56/314,934.75
  6. Step 6: Final answer
    x = 333,340.08

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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.