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Finding the Third Proportional to 185,534.25 and 277,815.75

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Solution

The third proportional to 185,534.25 and 277,815.75 is: 415,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,534.25 : 277,815.75 = 277,815.75 : x
  2. Step 2: Convert to fraction form
    185,534.25/277,815.75 = 277,815.75/x
  3. Step 3: Cross multiply
    185,534.25x = 277,815.75 × 277,815.75
  4. Step 4: Simplify right side
    185,534.25x = 77,181,590,948.06
  5. Step 5: Solve for x
    x = 77,181,590,948.06/185,534.25
  6. Step 6: Final answer
    x = 415,996.46

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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.