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Finding the Third Proportional to 236,859 and 364,073

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Solution

The third proportional to 236,859 and 364,073 is: 559,612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,859 : 364,073 = 364,073 : x
  2. Step 2: Convert to fraction form
    236,859/364,073 = 364,073/x
  3. Step 3: Cross multiply
    236,859x = 364,073 × 364,073
  4. Step 4: Simplify right side
    236,859x = 132,549,149,329
  5. Step 5: Solve for x
    x = 132,549,149,329/236,859
  6. Step 6: Final answer
    x = 559,612.04

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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.