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Finding the Third Proportional to 184,506.50 and 301,282.25

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Solution

The third proportional to 184,506.50 and 301,282.25 is: 491,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,506.50 : 301,282.25 = 301,282.25 : x
  2. Step 2: Convert to fraction form
    184,506.50/301,282.25 = 301,282.25/x
  3. Step 3: Cross multiply
    184,506.50x = 301,282.25 × 301,282.25
  4. Step 4: Simplify right side
    184,506.50x = 90,770,994,165.06
  5. Step 5: Solve for x
    x = 90,770,994,165.06/184,506.50
  6. Step 6: Final answer
    x = 491,966.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.