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Finding the Third Proportional to 228,952.50 and 336,568.50

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Solution

The third proportional to 228,952.50 and 336,568.50 is: 494,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,952.50 : 336,568.50 = 336,568.50 : x
  2. Step 2: Convert to fraction form
    228,952.50/336,568.50 = 336,568.50/x
  3. Step 3: Cross multiply
    228,952.50x = 336,568.50 × 336,568.50
  4. Step 4: Simplify right side
    228,952.50x = 113,278,355,192.25
  5. Step 5: Solve for x
    x = 113,278,355,192.25/228,952.50
  6. Step 6: Final answer
    x = 494,767.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.