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Finding the Third Proportional to 132,207 and 201,408.50

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Solution

The third proportional to 132,207 and 201,408.50 is: 306,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,207 : 201,408.50 = 201,408.50 : x
  2. Step 2: Convert to fraction form
    132,207/201,408.50 = 201,408.50/x
  3. Step 3: Cross multiply
    132,207x = 201,408.50 × 201,408.50
  4. Step 4: Simplify right side
    132,207x = 40,565,383,872.25
  5. Step 5: Solve for x
    x = 40,565,383,872.25/132,207
  6. Step 6: Final answer
    x = 306,832.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.