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Finding the Third Proportional to 250,192 and 374,040

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Solution

The third proportional to 250,192 and 374,040 is: 559,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,192 : 374,040 = 374,040 : x
  2. Step 2: Convert to fraction form
    250,192/374,040 = 374,040/x
  3. Step 3: Cross multiply
    250,192x = 374,040 × 374,040
  4. Step 4: Simplify right side
    250,192x = 139,905,921,600
  5. Step 5: Solve for x
    x = 139,905,921,600/250,192
  6. Step 6: Final answer
    x = 559,194.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.