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Finding the Third Proportional to 214,856.25 and 468,228

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Solution

The third proportional to 214,856.25 and 468,228 is: 1,020,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,856.25 : 468,228 = 468,228 : x
  2. Step 2: Convert to fraction form
    214,856.25/468,228 = 468,228/x
  3. Step 3: Cross multiply
    214,856.25x = 468,228 × 468,228
  4. Step 4: Simplify right side
    214,856.25x = 219,237,459,984
  5. Step 5: Solve for x
    x = 219,237,459,984/214,856.25
  6. Step 6: Final answer
    x = 1,020,391.35

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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.