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Finding the Third Proportional to 170,924 and 374,056

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Solution

The third proportional to 170,924 and 374,056 is: 818,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,924 : 374,056 = 374,056 : x
  2. Step 2: Convert to fraction form
    170,924/374,056 = 374,056/x
  3. Step 3: Cross multiply
    170,924x = 374,056 × 374,056
  4. Step 4: Simplify right side
    170,924x = 139,917,891,136
  5. Step 5: Solve for x
    x = 139,917,891,136/170,924
  6. Step 6: Final answer
    x = 818,597.10

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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.