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Finding the Third Proportional to 248,785.50 and 374,427

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Solution

The third proportional to 248,785.50 and 374,427 is: 563,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,785.50 : 374,427 = 374,427 : x
  2. Step 2: Convert to fraction form
    248,785.50/374,427 = 374,427/x
  3. Step 3: Cross multiply
    248,785.50x = 374,427 × 374,427
  4. Step 4: Simplify right side
    248,785.50x = 140,195,578,329
  5. Step 5: Solve for x
    x = 140,195,578,329/248,785.50
  6. Step 6: Final answer
    x = 563,519.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.