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Finding the Third Proportional to 127,669.50 and 277,715.25

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Solution

The third proportional to 127,669.50 and 277,715.25 is: 604,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,669.50 : 277,715.25 = 277,715.25 : x
  2. Step 2: Convert to fraction form
    127,669.50/277,715.25 = 277,715.25/x
  3. Step 3: Cross multiply
    127,669.50x = 277,715.25 × 277,715.25
  4. Step 4: Simplify right side
    127,669.50x = 77,125,760,082.56
  5. Step 5: Solve for x
    x = 77,125,760,082.56/127,669.50
  6. Step 6: Final answer
    x = 604,104.82

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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.