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Finding the Third Proportional to 248,787 and 374,974.50

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Solution

The third proportional to 248,787 and 374,974.50 is: 565,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,787 : 374,974.50 = 374,974.50 : x
  2. Step 2: Convert to fraction form
    248,787/374,974.50 = 374,974.50/x
  3. Step 3: Cross multiply
    248,787x = 374,974.50 × 374,974.50
  4. Step 4: Simplify right side
    248,787x = 140,605,875,650.25
  5. Step 5: Solve for x
    x = 140,605,875,650.25/248,787
  6. Step 6: Final answer
    x = 565,165.69

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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.