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Finding the Third Proportional to 184,424 and 402,361

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Solution

The third proportional to 184,424 and 402,361 is: 877,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,424 : 402,361 = 402,361 : x
  2. Step 2: Convert to fraction form
    184,424/402,361 = 402,361/x
  3. Step 3: Cross multiply
    184,424x = 402,361 × 402,361
  4. Step 4: Simplify right side
    184,424x = 161,894,374,321
  5. Step 5: Solve for x
    x = 161,894,374,321/184,424
  6. Step 6: Final answer
    x = 877,837.89

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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.