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Finding the Third Proportional to 185,533.03 and 277,813.55

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Solution

The third proportional to 185,533.03 and 277,813.55 is: 415,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,533.03 : 277,813.55 = 277,813.55 : x
  2. Step 2: Convert to fraction form
    185,533.03/277,813.55 = 277,813.55/x
  3. Step 3: Cross multiply
    185,533.03x = 277,813.55 × 277,813.55
  4. Step 4: Simplify right side
    185,533.03x = 77,180,366,827.27
  5. Step 5: Solve for x
    x = 77,180,366,827.27/185,533.03
  6. Step 6: Final answer
    x = 415,992.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.