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Finding the Third Proportional to 184,768 and 398,032

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Solution

The third proportional to 184,768 and 398,032 is: 857,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,768 : 398,032 = 398,032 : x
  2. Step 2: Convert to fraction form
    184,768/398,032 = 398,032/x
  3. Step 3: Cross multiply
    184,768x = 398,032 × 398,032
  4. Step 4: Simplify right side
    184,768x = 158,429,473,024
  5. Step 5: Solve for x
    x = 158,429,473,024/184,768
  6. Step 6: Final answer
    x = 857,450.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.