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Finding the Third Proportional to 141,555 and 333,685

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Solution

The third proportional to 141,555 and 333,685 is: 786,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,555 : 333,685 = 333,685 : x
  2. Step 2: Convert to fraction form
    141,555/333,685 = 333,685/x
  3. Step 3: Cross multiply
    141,555x = 333,685 × 333,685
  4. Step 4: Simplify right side
    141,555x = 111,345,679,225
  5. Step 5: Solve for x
    x = 111,345,679,225/141,555
  6. Step 6: Final answer
    x = 786,589.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.