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Finding the Third Proportional to 184,241 and 402,851

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Solution

The third proportional to 184,241 and 402,851 is: 880,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,241 : 402,851 = 402,851 : x
  2. Step 2: Convert to fraction form
    184,241/402,851 = 402,851/x
  3. Step 3: Cross multiply
    184,241x = 402,851 × 402,851
  4. Step 4: Simplify right side
    184,241x = 162,288,928,201
  5. Step 5: Solve for x
    x = 162,288,928,201/184,241
  6. Step 6: Final answer
    x = 880,851.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.