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Finding the Third Proportional to 132,414 and 202,595

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Solution

The third proportional to 132,414 and 202,595 is: 309,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,414 : 202,595 = 202,595 : x
  2. Step 2: Convert to fraction form
    132,414/202,595 = 202,595/x
  3. Step 3: Cross multiply
    132,414x = 202,595 × 202,595
  4. Step 4: Simplify right side
    132,414x = 41,044,734,025
  5. Step 5: Solve for x
    x = 41,044,734,025/132,414
  6. Step 6: Final answer
    x = 309,972.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.