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Finding the Third Proportional to 172,576 and 377,232

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Solution

The third proportional to 172,576 and 377,232 is: 824,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,576 : 377,232 = 377,232 : x
  2. Step 2: Convert to fraction form
    172,576/377,232 = 377,232/x
  3. Step 3: Cross multiply
    172,576x = 377,232 × 377,232
  4. Step 4: Simplify right side
    172,576x = 142,303,981,824
  5. Step 5: Solve for x
    x = 142,303,981,824/172,576
  6. Step 6: Final answer
    x = 824,587.32

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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.