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Finding the Third Proportional to 184,034 and 391,396

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Solution

The third proportional to 184,034 and 391,396 is: 832,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,034 : 391,396 = 391,396 : x
  2. Step 2: Convert to fraction form
    184,034/391,396 = 391,396/x
  3. Step 3: Cross multiply
    184,034x = 391,396 × 391,396
  4. Step 4: Simplify right side
    184,034x = 153,190,828,816
  5. Step 5: Solve for x
    x = 153,190,828,816/184,034
  6. Step 6: Final answer
    x = 832,405.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.