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Finding the Third Proportional to 127,770.75 and 277,912.69

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Solution

The third proportional to 127,770.75 and 277,912.69 is: 604,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,770.75 : 277,912.69 = 277,912.69 : x
  2. Step 2: Convert to fraction form
    127,770.75/277,912.69 = 277,912.69/x
  3. Step 3: Cross multiply
    127,770.75x = 277,912.69 × 277,912.69
  4. Step 4: Simplify right side
    127,770.75x = 77,235,461,873.47
  5. Step 5: Solve for x
    x = 77,235,461,873.47/127,770.75
  6. Step 6: Final answer
    x = 604,484.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.