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Finding the Third Proportional to 133,164 and 202,472

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Solution

The third proportional to 133,164 and 202,472 is: 307,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,164 : 202,472 = 202,472 : x
  2. Step 2: Convert to fraction form
    133,164/202,472 = 202,472/x
  3. Step 3: Cross multiply
    133,164x = 202,472 × 202,472
  4. Step 4: Simplify right side
    133,164x = 40,994,910,784
  5. Step 5: Solve for x
    x = 40,994,910,784/133,164
  6. Step 6: Final answer
    x = 307,852.80

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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.