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Finding the Third Proportional to 184,829 and 376,358

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Solution

The third proportional to 184,829 and 376,358 is: 766,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,829 : 376,358 = 376,358 : x
  2. Step 2: Convert to fraction form
    184,829/376,358 = 376,358/x
  3. Step 3: Cross multiply
    184,829x = 376,358 × 376,358
  4. Step 4: Simplify right side
    184,829x = 141,645,344,164
  5. Step 5: Solve for x
    x = 141,645,344,164/184,829
  6. Step 6: Final answer
    x = 766,358.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.