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Finding the Third Proportional to 85,408 and 183,152

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Solution

The third proportional to 85,408 and 183,152 is: 392,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,408 : 183,152 = 183,152 : x
  2. Step 2: Convert to fraction form
    85,408/183,152 = 183,152/x
  3. Step 3: Cross multiply
    85,408x = 183,152 × 183,152
  4. Step 4: Simplify right side
    85,408x = 33,544,655,104
  5. Step 5: Solve for x
    x = 33,544,655,104/85,408
  6. Step 6: Final answer
    x = 392,757.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.