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Finding the Third Proportional to 184,361 and 390,322

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Solution

The third proportional to 184,361 and 390,322 is: 826,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,361 : 390,322 = 390,322 : x
  2. Step 2: Convert to fraction form
    184,361/390,322 = 390,322/x
  3. Step 3: Cross multiply
    184,361x = 390,322 × 390,322
  4. Step 4: Simplify right side
    184,361x = 152,351,263,684
  5. Step 5: Solve for x
    x = 152,351,263,684/184,361
  6. Step 6: Final answer
    x = 826,374.69

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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.