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Finding the Third Proportional to 172,113 and 372,819

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Solution

The third proportional to 172,113 and 372,819 is: 807,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,113 : 372,819 = 372,819 : x
  2. Step 2: Convert to fraction form
    172,113/372,819 = 372,819/x
  3. Step 3: Cross multiply
    172,113x = 372,819 × 372,819
  4. Step 4: Simplify right side
    172,113x = 138,994,006,761
  5. Step 5: Solve for x
    x = 138,994,006,761/172,113
  6. Step 6: Final answer
    x = 807,574.13

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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.