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Finding the Third Proportional to 144,616.13 and 296,279.25

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Solution

The third proportional to 144,616.13 and 296,279.25 is: 606,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,616.13 : 296,279.25 = 296,279.25 : x
  2. Step 2: Convert to fraction form
    144,616.13/296,279.25 = 296,279.25/x
  3. Step 3: Cross multiply
    144,616.13x = 296,279.25 × 296,279.25
  4. Step 4: Simplify right side
    144,616.13x = 87,781,393,980.56
  5. Step 5: Solve for x
    x = 87,781,393,980.56/144,616.13
  6. Step 6: Final answer
    x = 606,995.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.