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Finding the Third Proportional to 214,104.50 and 466,339.50

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Solution

The third proportional to 214,104.50 and 466,339.50 is: 1,015,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,104.50 : 466,339.50 = 466,339.50 : x
  2. Step 2: Convert to fraction form
    214,104.50/466,339.50 = 466,339.50/x
  3. Step 3: Cross multiply
    214,104.50x = 466,339.50 × 466,339.50
  4. Step 4: Simplify right side
    214,104.50x = 217,472,529,260.25
  5. Step 5: Solve for x
    x = 217,472,529,260.25/214,104.50
  6. Step 6: Final answer
    x = 1,015,730.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.