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Finding the Third Proportional to 149,486 and 218,472.50

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Solution

The third proportional to 149,486 and 218,472.50 is: 319,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,486 : 218,472.50 = 218,472.50 : x
  2. Step 2: Convert to fraction form
    149,486/218,472.50 = 218,472.50/x
  3. Step 3: Cross multiply
    149,486x = 218,472.50 × 218,472.50
  4. Step 4: Simplify right side
    149,486x = 47,730,233,256.25
  5. Step 5: Solve for x
    x = 47,730,233,256.25/149,486
  6. Step 6: Final answer
    x = 319,295.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.