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Finding the Third Proportional to 184,410 and 398,346

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Solution

The third proportional to 184,410 and 398,346 is: 860,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,410 : 398,346 = 398,346 : x
  2. Step 2: Convert to fraction form
    184,410/398,346 = 398,346/x
  3. Step 3: Cross multiply
    184,410x = 398,346 × 398,346
  4. Step 4: Simplify right side
    184,410x = 158,679,535,716
  5. Step 5: Solve for x
    x = 158,679,535,716/184,410
  6. Step 6: Final answer
    x = 860,471.43

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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.