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Finding the Third Proportional to 184,277.53 and 277,716.09

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Solution

The third proportional to 184,277.53 and 277,716.09 is: 418,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,277.53 : 277,716.09 = 277,716.09 : x
  2. Step 2: Convert to fraction form
    184,277.53/277,716.09 = 277,716.09/x
  3. Step 3: Cross multiply
    184,277.53x = 277,716.09 × 277,716.09
  4. Step 4: Simplify right side
    184,277.53x = 77,126,228,727.76
  5. Step 5: Solve for x
    x = 77,126,228,727.76/184,277.53
  6. Step 6: Final answer
    x = 418,533.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.