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Finding the Third Proportional to 172,524.75 and 377,034

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Solution

The third proportional to 172,524.75 and 377,034 is: 823,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,524.75 : 377,034 = 377,034 : x
  2. Step 2: Convert to fraction form
    172,524.75/377,034 = 377,034/x
  3. Step 3: Cross multiply
    172,524.75x = 377,034 × 377,034
  4. Step 4: Simplify right side
    172,524.75x = 142,154,637,156
  5. Step 5: Solve for x
    x = 142,154,637,156/172,524.75
  6. Step 6: Final answer
    x = 823,966.63

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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.