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Finding the Third Proportional to 184,952 and 399,040

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Solution

The third proportional to 184,952 and 399,040 is: 860,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,952 : 399,040 = 399,040 : x
  2. Step 2: Convert to fraction form
    184,952/399,040 = 399,040/x
  3. Step 3: Cross multiply
    184,952x = 399,040 × 399,040
  4. Step 4: Simplify right side
    184,952x = 159,232,921,600
  5. Step 5: Solve for x
    x = 159,232,921,600/184,952
  6. Step 6: Final answer
    x = 860,941.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.