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Finding the Third Proportional to 141,904 and 303,088

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Solution

The third proportional to 141,904 and 303,088 is: 647,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,904 : 303,088 = 303,088 : x
  2. Step 2: Convert to fraction form
    141,904/303,088 = 303,088/x
  3. Step 3: Cross multiply
    141,904x = 303,088 × 303,088
  4. Step 4: Simplify right side
    141,904x = 91,862,335,744
  5. Step 5: Solve for x
    x = 91,862,335,744/141,904
  6. Step 6: Final answer
    x = 647,355.51

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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.