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Finding the Third Proportional to 172,534 and 375,444

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Solution

The third proportional to 172,534 and 375,444 is: 816,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,534 : 375,444 = 375,444 : x
  2. Step 2: Convert to fraction form
    172,534/375,444 = 375,444/x
  3. Step 3: Cross multiply
    172,534x = 375,444 × 375,444
  4. Step 4: Simplify right side
    172,534x = 140,958,197,136
  5. Step 5: Solve for x
    x = 140,958,197,136/172,534
  6. Step 6: Final answer
    x = 816,987.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.