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Finding the Third Proportional to 119,967 and 277,729.50

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Solution

The third proportional to 119,967 and 277,729.50 is: 642,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,967 : 277,729.50 = 277,729.50 : x
  2. Step 2: Convert to fraction form
    119,967/277,729.50 = 277,729.50/x
  3. Step 3: Cross multiply
    119,967x = 277,729.50 × 277,729.50
  4. Step 4: Simplify right side
    119,967x = 77,133,675,170.25
  5. Step 5: Solve for x
    x = 77,133,675,170.25/119,967
  6. Step 6: Final answer
    x = 642,957.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.