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Finding the Third Proportional to 184,788 and 391,388

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Solution

The third proportional to 184,788 and 391,388 is: 828,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,788 : 391,388 = 391,388 : x
  2. Step 2: Convert to fraction form
    184,788/391,388 = 391,388/x
  3. Step 3: Cross multiply
    184,788x = 391,388 × 391,388
  4. Step 4: Simplify right side
    184,788x = 153,184,566,544
  5. Step 5: Solve for x
    x = 153,184,566,544/184,788
  6. Step 6: Final answer
    x = 828,974.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.