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Finding the Third Proportional to 236,999.25 and 335,345.63

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Solution

The third proportional to 236,999.25 and 335,345.63 is: 474,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,999.25 : 335,345.63 = 335,345.63 : x
  2. Step 2: Convert to fraction form
    236,999.25/335,345.63 = 335,345.63/x
  3. Step 3: Cross multiply
    236,999.25x = 335,345.63 × 335,345.63
  4. Step 4: Simplify right side
    236,999.25x = 112,456,688,206.64
  5. Step 5: Solve for x
    x = 112,456,688,206.64/236,999.25
  6. Step 6: Final answer
    x = 474,502.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.