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Finding the Third Proportional to 133,052.06 and 206,411.06

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Solution

The third proportional to 133,052.06 and 206,411.06 is: 320,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,052.06 : 206,411.06 = 206,411.06 : x
  2. Step 2: Convert to fraction form
    133,052.06/206,411.06 = 206,411.06/x
  3. Step 3: Cross multiply
    133,052.06x = 206,411.06 × 206,411.06
  4. Step 4: Simplify right side
    133,052.06x = 42,605,526,722.38
  5. Step 5: Solve for x
    x = 42,605,526,722.38/133,052.06
  6. Step 6: Final answer
    x = 320,216.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.