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Finding the Third Proportional to 170,916 and 374,061

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Solution

The third proportional to 170,916 and 374,061 is: 818,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,916 : 374,061 = 374,061 : x
  2. Step 2: Convert to fraction form
    170,916/374,061 = 374,061/x
  3. Step 3: Cross multiply
    170,916x = 374,061 × 374,061
  4. Step 4: Simplify right side
    170,916x = 139,921,631,721
  5. Step 5: Solve for x
    x = 139,921,631,721/170,916
  6. Step 6: Final answer
    x = 818,657.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.