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Finding the Third Proportional to 172,524.47 and 377,033.53

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Solution

The third proportional to 172,524.47 and 377,033.53 is: 823,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,524.47 : 377,033.53 = 377,033.53 : x
  2. Step 2: Convert to fraction form
    172,524.47/377,033.53 = 377,033.53/x
  3. Step 3: Cross multiply
    172,524.47x = 377,033.53 × 377,033.53
  4. Step 4: Simplify right side
    172,524.47x = 142,154,283,686.85
  5. Step 5: Solve for x
    x = 142,154,283,686.85/172,524.47
  6. Step 6: Final answer
    x = 823,965.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.