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Finding the Third Proportional to 184,644 and 397,534.50

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Solution

The third proportional to 184,644 and 397,534.50 is: 855,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,644 : 397,534.50 = 397,534.50 : x
  2. Step 2: Convert to fraction form
    184,644/397,534.50 = 397,534.50/x
  3. Step 3: Cross multiply
    184,644x = 397,534.50 × 397,534.50
  4. Step 4: Simplify right side
    184,644x = 158,033,678,690.25
  5. Step 5: Solve for x
    x = 158,033,678,690.25/184,644
  6. Step 6: Final answer
    x = 855,883.10

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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.