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Finding the Third Proportional to 140,664 and 308,008

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Solution

The third proportional to 140,664 and 308,008 is: 674,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,664 : 308,008 = 308,008 : x
  2. Step 2: Convert to fraction form
    140,664/308,008 = 308,008/x
  3. Step 3: Cross multiply
    140,664x = 308,008 × 308,008
  4. Step 4: Simplify right side
    140,664x = 94,868,928,064
  5. Step 5: Solve for x
    x = 94,868,928,064/140,664
  6. Step 6: Final answer
    x = 674,436.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.