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Finding the Third Proportional to 169,332.50 and 361,993

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Solution

The third proportional to 169,332.50 and 361,993 is: 773,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,332.50 : 361,993 = 361,993 : x
  2. Step 2: Convert to fraction form
    169,332.50/361,993 = 361,993/x
  3. Step 3: Cross multiply
    169,332.50x = 361,993 × 361,993
  4. Step 4: Simplify right side
    169,332.50x = 131,038,932,049
  5. Step 5: Solve for x
    x = 131,038,932,049/169,332.50
  6. Step 6: Final answer
    x = 773,855.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.