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Finding the Third Proportional to 184,372 and 402,115

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Solution

The third proportional to 184,372 and 402,115 is: 877,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,372 : 402,115 = 402,115 : x
  2. Step 2: Convert to fraction form
    184,372/402,115 = 402,115/x
  3. Step 3: Cross multiply
    184,372x = 402,115 × 402,115
  4. Step 4: Simplify right side
    184,372x = 161,696,473,225
  5. Step 5: Solve for x
    x = 161,696,473,225/184,372
  6. Step 6: Final answer
    x = 877,012.09

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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.