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Finding the Third Proportional to 141,012 and 296,568

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Solution

The third proportional to 141,012 and 296,568 is: 623,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,012 : 296,568 = 296,568 : x
  2. Step 2: Convert to fraction form
    141,012/296,568 = 296,568/x
  3. Step 3: Cross multiply
    141,012x = 296,568 × 296,568
  4. Step 4: Simplify right side
    141,012x = 87,952,578,624
  5. Step 5: Solve for x
    x = 87,952,578,624/141,012
  6. Step 6: Final answer
    x = 623,724.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.