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Finding the Third Proportional to 214,474.50 and 318,060

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Solution

The third proportional to 214,474.50 and 318,060 is: 471,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,474.50 : 318,060 = 318,060 : x
  2. Step 2: Convert to fraction form
    214,474.50/318,060 = 318,060/x
  3. Step 3: Cross multiply
    214,474.50x = 318,060 × 318,060
  4. Step 4: Simplify right side
    214,474.50x = 101,162,163,600
  5. Step 5: Solve for x
    x = 101,162,163,600/214,474.50
  6. Step 6: Final answer
    x = 471,674.55

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.