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Finding the Third Proportional to 184,072.50 and 215,146.13

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Solution

The third proportional to 184,072.50 and 215,146.13 is: 251,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,072.50 : 215,146.13 = 215,146.13 : x
  2. Step 2: Convert to fraction form
    184,072.50/215,146.13 = 215,146.13/x
  3. Step 3: Cross multiply
    184,072.50x = 215,146.13 × 215,146.13
  4. Step 4: Simplify right side
    184,072.50x = 46,287,855,102.52
  5. Step 5: Solve for x
    x = 46,287,855,102.52/184,072.50
  6. Step 6: Final answer
    x = 251,465.35

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.