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Finding the Third Proportional to 184,430 and 402,374

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Solution

The third proportional to 184,430 and 402,374 is: 877,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,430 : 402,374 = 402,374 : x
  2. Step 2: Convert to fraction form
    184,430/402,374 = 402,374/x
  3. Step 3: Cross multiply
    184,430x = 402,374 × 402,374
  4. Step 4: Simplify right side
    184,430x = 161,904,835,876
  5. Step 5: Solve for x
    x = 161,904,835,876/184,430
  6. Step 6: Final answer
    x = 877,866.05

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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.