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Finding the Third Proportional to 104,207 and 215,560

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Solution

The third proportional to 104,207 and 215,560 is: 445,902.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,207 : 215,560 = 215,560 : x
  2. Step 2: Convert to fraction form
    104,207/215,560 = 215,560/x
  3. Step 3: Cross multiply
    104,207x = 215,560 × 215,560
  4. Step 4: Simplify right side
    104,207x = 46,466,113,600
  5. Step 5: Solve for x
    x = 46,466,113,600/104,207
  6. Step 6: Final answer
    x = 445,902.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.