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Finding the Third Proportional to 104,454 and 214,440

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Solution

The third proportional to 104,454 and 214,440 is: 440,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,454 : 214,440 = 214,440 : x
  2. Step 2: Convert to fraction form
    104,454/214,440 = 214,440/x
  3. Step 3: Cross multiply
    104,454x = 214,440 × 214,440
  4. Step 4: Simplify right side
    104,454x = 45,984,513,600
  5. Step 5: Solve for x
    x = 45,984,513,600/104,454
  6. Step 6: Final answer
    x = 440,236.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.