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Finding the Third Proportional to 214,737 and 485,151

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Solution

The third proportional to 214,737 and 485,151 is: 1,096,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,737 : 485,151 = 485,151 : x
  2. Step 2: Convert to fraction form
    214,737/485,151 = 485,151/x
  3. Step 3: Cross multiply
    214,737x = 485,151 × 485,151
  4. Step 4: Simplify right side
    214,737x = 235,371,492,801
  5. Step 5: Solve for x
    x = 235,371,492,801/214,737
  6. Step 6: Final answer
    x = 1,096,091.93

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.