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Finding the Third Proportional to 137,328.50 and 212,215

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Solution

The third proportional to 137,328.50 and 212,215 is: 327,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,328.50 : 212,215 = 212,215 : x
  2. Step 2: Convert to fraction form
    137,328.50/212,215 = 212,215/x
  3. Step 3: Cross multiply
    137,328.50x = 212,215 × 212,215
  4. Step 4: Simplify right side
    137,328.50x = 45,035,206,225
  5. Step 5: Solve for x
    x = 45,035,206,225/137,328.50
  6. Step 6: Final answer
    x = 327,937.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.