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Finding the Third Proportional to 215,053.50 and 331,605

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Solution

The third proportional to 215,053.50 and 331,605 is: 511,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,053.50 : 331,605 = 331,605 : x
  2. Step 2: Convert to fraction form
    215,053.50/331,605 = 331,605/x
  3. Step 3: Cross multiply
    215,053.50x = 331,605 × 331,605
  4. Step 4: Simplify right side
    215,053.50x = 109,961,876,025
  5. Step 5: Solve for x
    x = 109,961,876,025/215,053.50
  6. Step 6: Final answer
    x = 511,323.35

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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.