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Finding the Third Proportional to 184,210.88 and 281,235.38

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Solution

The third proportional to 184,210.88 and 281,235.38 is: 429,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,210.88 : 281,235.38 = 281,235.38 : x
  2. Step 2: Convert to fraction form
    184,210.88/281,235.38 = 281,235.38/x
  3. Step 3: Cross multiply
    184,210.88x = 281,235.38 × 281,235.38
  4. Step 4: Simplify right side
    184,210.88x = 79,093,336,151.39
  5. Step 5: Solve for x
    x = 79,093,336,151.39/184,210.88
  6. Step 6: Final answer
    x = 429,363.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.