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Finding the Third Proportional to 224,489.81 and 336,722.06

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Solution

The third proportional to 224,489.81 and 336,722.06 is: 505,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,489.81 : 336,722.06 = 336,722.06 : x
  2. Step 2: Convert to fraction form
    224,489.81/336,722.06 = 336,722.06/x
  3. Step 3: Cross multiply
    224,489.81x = 336,722.06 × 336,722.06
  4. Step 4: Simplify right side
    224,489.81x = 113,381,747,374.25
  5. Step 5: Solve for x
    x = 113,381,747,374.25/224,489.81
  6. Step 6: Final answer
    x = 505,064.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.