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Finding the Third Proportional to 184,375 and 402,121

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Solution

The third proportional to 184,375 and 402,121 is: 877,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,375 : 402,121 = 402,121 : x
  2. Step 2: Convert to fraction form
    184,375/402,121 = 402,121/x
  3. Step 3: Cross multiply
    184,375x = 402,121 × 402,121
  4. Step 4: Simplify right side
    184,375x = 161,701,298,641
  5. Step 5: Solve for x
    x = 161,701,298,641/184,375
  6. Step 6: Final answer
    x = 877,023.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.