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Finding the Third Proportional to 172,095.75 and 372,788.25

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Solution

The third proportional to 172,095.75 and 372,788.25 is: 807,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,095.75 : 372,788.25 = 372,788.25 : x
  2. Step 2: Convert to fraction form
    172,095.75/372,788.25 = 372,788.25/x
  3. Step 3: Cross multiply
    172,095.75x = 372,788.25 × 372,788.25
  4. Step 4: Simplify right side
    172,095.75x = 138,971,079,338.06
  5. Step 5: Solve for x
    x = 138,971,079,338.06/172,095.75
  6. Step 6: Final answer
    x = 807,521.86

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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.