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Finding the Third Proportional to 184,792.50 and 257,462.25

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Solution

The third proportional to 184,792.50 and 257,462.25 is: 358,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,792.50 : 257,462.25 = 257,462.25 : x
  2. Step 2: Convert to fraction form
    184,792.50/257,462.25 = 257,462.25/x
  3. Step 3: Cross multiply
    184,792.50x = 257,462.25 × 257,462.25
  4. Step 4: Simplify right side
    184,792.50x = 66,286,810,175.06
  5. Step 5: Solve for x
    x = 66,286,810,175.06/184,792.50
  6. Step 6: Final answer
    x = 358,709.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.