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Finding the Third Proportional to 215,154 and 331,803

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Solution

The third proportional to 215,154 and 331,803 is: 511,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,154 : 331,803 = 331,803 : x
  2. Step 2: Convert to fraction form
    215,154/331,803 = 331,803/x
  3. Step 3: Cross multiply
    215,154x = 331,803 × 331,803
  4. Step 4: Simplify right side
    215,154x = 110,093,230,809
  5. Step 5: Solve for x
    x = 110,093,230,809/215,154
  6. Step 6: Final answer
    x = 511,695.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.