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Finding the Third Proportional to 236,298.52 and 363,207.16

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Solution

The third proportional to 236,298.52 and 363,207.16 is: 558,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,298.52 : 363,207.16 = 363,207.16 : x
  2. Step 2: Convert to fraction form
    236,298.52/363,207.16 = 363,207.16/x
  3. Step 3: Cross multiply
    236,298.52x = 363,207.16 × 363,207.16
  4. Step 4: Simplify right side
    236,298.52x = 131,919,444,026.32
  5. Step 5: Solve for x
    x = 131,919,444,026.32/236,298.52
  6. Step 6: Final answer
    x = 558,274.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.