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Finding the Third Proportional to 214,650 and 466,202.25

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Solution

The third proportional to 214,650 and 466,202.25 is: 1,012,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,650 : 466,202.25 = 466,202.25 : x
  2. Step 2: Convert to fraction form
    214,650/466,202.25 = 466,202.25/x
  3. Step 3: Cross multiply
    214,650x = 466,202.25 × 466,202.25
  4. Step 4: Simplify right side
    214,650x = 217,344,537,905.06
  5. Step 5: Solve for x
    x = 217,344,537,905.06/214,650
  6. Step 6: Final answer
    x = 1,012,553.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.