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Finding the Third Proportional to 181,845 and 374,888.25

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Solution

The third proportional to 181,845 and 374,888.25 is: 772,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,845 : 374,888.25 = 374,888.25 : x
  2. Step 2: Convert to fraction form
    181,845/374,888.25 = 374,888.25/x
  3. Step 3: Cross multiply
    181,845x = 374,888.25 × 374,888.25
  4. Step 4: Simplify right side
    181,845x = 140,541,199,988.06
  5. Step 5: Solve for x
    x = 140,541,199,988.06/181,845
  6. Step 6: Final answer
    x = 772,862.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.