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Finding the Third Proportional to 172,712 and 374,944

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Solution

The third proportional to 172,712 and 374,944 is: 813,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,712 : 374,944 = 374,944 : x
  2. Step 2: Convert to fraction form
    172,712/374,944 = 374,944/x
  3. Step 3: Cross multiply
    172,712x = 374,944 × 374,944
  4. Step 4: Simplify right side
    172,712x = 140,583,003,136
  5. Step 5: Solve for x
    x = 140,583,003,136/172,712
  6. Step 6: Final answer
    x = 813,973.57

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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.