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Finding the Third Proportional to 184,200.75 and 271,117.13

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Solution

The third proportional to 184,200.75 and 271,117.13 is: 399,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,200.75 : 271,117.13 = 271,117.13 : x
  2. Step 2: Convert to fraction form
    184,200.75/271,117.13 = 271,117.13/x
  3. Step 3: Cross multiply
    184,200.75x = 271,117.13 × 271,117.13
  4. Step 4: Simplify right side
    184,200.75x = 73,504,495,468.27
  5. Step 5: Solve for x
    x = 73,504,495,468.27/184,200.75
  6. Step 6: Final answer
    x = 399,045.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.