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Finding the Third Proportional to 184,521 and 397,999.50

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Solution

The third proportional to 184,521 and 397,999.50 is: 858,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,521 : 397,999.50 = 397,999.50 : x
  2. Step 2: Convert to fraction form
    184,521/397,999.50 = 397,999.50/x
  3. Step 3: Cross multiply
    184,521x = 397,999.50 × 397,999.50
  4. Step 4: Simplify right side
    184,521x = 158,403,602,000.25
  5. Step 5: Solve for x
    x = 158,403,602,000.25/184,521
  6. Step 6: Final answer
    x = 858,458.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.