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Finding the Third Proportional to 184,860 and 293,850

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Solution

The third proportional to 184,860 and 293,850 is: 467,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,860 : 293,850 = 293,850 : x
  2. Step 2: Convert to fraction form
    184,860/293,850 = 293,850/x
  3. Step 3: Cross multiply
    184,860x = 293,850 × 293,850
  4. Step 4: Simplify right side
    184,860x = 86,347,822,500
  5. Step 5: Solve for x
    x = 86,347,822,500/184,860
  6. Step 6: Final answer
    x = 467,098.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.