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Finding the Third Proportional to 172,100 and 375,952

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Solution

The third proportional to 172,100 and 375,952 is: 821,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,100 : 375,952 = 375,952 : x
  2. Step 2: Convert to fraction form
    172,100/375,952 = 375,952/x
  3. Step 3: Cross multiply
    172,100x = 375,952 × 375,952
  4. Step 4: Simplify right side
    172,100x = 141,339,906,304
  5. Step 5: Solve for x
    x = 141,339,906,304/172,100
  6. Step 6: Final answer
    x = 821,266.16

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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.