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Finding the Third Proportional to 236,860 and 364,074

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Solution

The third proportional to 236,860 and 364,074 is: 559,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,860 : 364,074 = 364,074 : x
  2. Step 2: Convert to fraction form
    236,860/364,074 = 364,074/x
  3. Step 3: Cross multiply
    236,860x = 364,074 × 364,074
  4. Step 4: Simplify right side
    236,860x = 132,549,877,476
  5. Step 5: Solve for x
    x = 132,549,877,476/236,860
  6. Step 6: Final answer
    x = 559,612.76

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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.