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Finding the Third Proportional to 214,854.75 and 468,225

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Solution

The third proportional to 214,854.75 and 468,225 is: 1,020,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,854.75 : 468,225 = 468,225 : x
  2. Step 2: Convert to fraction form
    214,854.75/468,225 = 468,225/x
  3. Step 3: Cross multiply
    214,854.75x = 468,225 × 468,225
  4. Step 4: Simplify right side
    214,854.75x = 219,234,650,625
  5. Step 5: Solve for x
    x = 219,234,650,625/214,854.75
  6. Step 6: Final answer
    x = 1,020,385.40

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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.