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Finding the Third Proportional to 184,420 and 402,353

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Solution

The third proportional to 184,420 and 402,353 is: 877,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,420 : 402,353 = 402,353 : x
  2. Step 2: Convert to fraction form
    184,420/402,353 = 402,353/x
  3. Step 3: Cross multiply
    184,420x = 402,353 × 402,353
  4. Step 4: Simplify right side
    184,420x = 161,887,936,609
  5. Step 5: Solve for x
    x = 161,887,936,609/184,420
  6. Step 6: Final answer
    x = 877,822.02

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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.