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Finding the Third Proportional to 141,395.75 and 303,031.75

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Solution

The third proportional to 141,395.75 and 303,031.75 is: 649,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,395.75 : 303,031.75 = 303,031.75 : x
  2. Step 2: Convert to fraction form
    141,395.75/303,031.75 = 303,031.75/x
  3. Step 3: Cross multiply
    141,395.75x = 303,031.75 × 303,031.75
  4. Step 4: Simplify right side
    141,395.75x = 91,828,241,508.06
  5. Step 5: Solve for x
    x = 91,828,241,508.06/141,395.75
  6. Step 6: Final answer
    x = 649,441.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.