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Finding the Third Proportional to 141,039 and 293,742

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Solution

The third proportional to 141,039 and 293,742 is: 611,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,039 : 293,742 = 293,742 : x
  2. Step 2: Convert to fraction form
    141,039/293,742 = 293,742/x
  3. Step 3: Cross multiply
    141,039x = 293,742 × 293,742
  4. Step 4: Simplify right side
    141,039x = 86,284,362,564
  5. Step 5: Solve for x
    x = 86,284,362,564/141,039
  6. Step 6: Final answer
    x = 611,776.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.