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Finding the Third Proportional to 101,905.50 and 208,347

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Solution

The third proportional to 101,905.50 and 208,347 is: 425,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,905.50 : 208,347 = 208,347 : x
  2. Step 2: Convert to fraction form
    101,905.50/208,347 = 208,347/x
  3. Step 3: Cross multiply
    101,905.50x = 208,347 × 208,347
  4. Step 4: Simplify right side
    101,905.50x = 43,408,472,409
  5. Step 5: Solve for x
    x = 43,408,472,409/101,905.50
  6. Step 6: Final answer
    x = 425,967.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.