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Finding the Third Proportional to 184,908 and 399,282

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Solution

The third proportional to 184,908 and 399,282 is: 862,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,908 : 399,282 = 399,282 : x
  2. Step 2: Convert to fraction form
    184,908/399,282 = 399,282/x
  3. Step 3: Cross multiply
    184,908x = 399,282 × 399,282
  4. Step 4: Simplify right side
    184,908x = 159,426,115,524
  5. Step 5: Solve for x
    x = 159,426,115,524/184,908
  6. Step 6: Final answer
    x = 862,191.55

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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.