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Finding the Third Proportional to 212,257.13 and 315,500.06

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Solution

The third proportional to 212,257.13 and 315,500.06 is: 468,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,257.13 : 315,500.06 = 315,500.06 : x
  2. Step 2: Convert to fraction form
    212,257.13/315,500.06 = 315,500.06/x
  3. Step 3: Cross multiply
    212,257.13x = 315,500.06 × 315,500.06
  4. Step 4: Simplify right side
    212,257.13x = 99,540,289,437.50
  5. Step 5: Solve for x
    x = 99,540,289,437.50/212,257.13
  6. Step 6: Final answer
    x = 468,960.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.