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Finding the Third Proportional to 140,373 and 299,409.75

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Solution

The third proportional to 140,373 and 299,409.75 is: 638,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,373 : 299,409.75 = 299,409.75 : x
  2. Step 2: Convert to fraction form
    140,373/299,409.75 = 299,409.75/x
  3. Step 3: Cross multiply
    140,373x = 299,409.75 × 299,409.75
  4. Step 4: Simplify right side
    140,373x = 89,646,198,395.06
  5. Step 5: Solve for x
    x = 89,646,198,395.06/140,373
  6. Step 6: Final answer
    x = 638,628.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.