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Finding the Third Proportional to 127,686.38 and 277,485.75

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Solution

The third proportional to 127,686.38 and 277,485.75 is: 603,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,686.38 : 277,485.75 = 277,485.75 : x
  2. Step 2: Convert to fraction form
    127,686.38/277,485.75 = 277,485.75/x
  3. Step 3: Cross multiply
    127,686.38x = 277,485.75 × 277,485.75
  4. Step 4: Simplify right side
    127,686.38x = 76,998,341,453.06
  5. Step 5: Solve for x
    x = 76,998,341,453.06/127,686.38
  6. Step 6: Final answer
    x = 603,027.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.