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Finding the Third Proportional to 172,854 and 375,228

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Solution

The third proportional to 172,854 and 375,228 is: 814,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,854 : 375,228 = 375,228 : x
  2. Step 2: Convert to fraction form
    172,854/375,228 = 375,228/x
  3. Step 3: Cross multiply
    172,854x = 375,228 × 375,228
  4. Step 4: Simplify right side
    172,854x = 140,796,051,984
  5. Step 5: Solve for x
    x = 140,796,051,984/172,854
  6. Step 6: Final answer
    x = 814,537.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.