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Finding the Third Proportional to 184,518 and 301,297.50

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Solution

The third proportional to 184,518 and 301,297.50 is: 491,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,518 : 301,297.50 = 301,297.50 : x
  2. Step 2: Convert to fraction form
    184,518/301,297.50 = 301,297.50/x
  3. Step 3: Cross multiply
    184,518x = 301,297.50 × 301,297.50
  4. Step 4: Simplify right side
    184,518x = 90,780,183,506.25
  5. Step 5: Solve for x
    x = 90,780,183,506.25/184,518
  6. Step 6: Final answer
    x = 491,985.52

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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.