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Finding the Third Proportional to 236,264 and 363,146

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Solution

The third proportional to 236,264 and 363,146 is: 558,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,264 : 363,146 = 363,146 : x
  2. Step 2: Convert to fraction form
    236,264/363,146 = 363,146/x
  3. Step 3: Cross multiply
    236,264x = 363,146 × 363,146
  4. Step 4: Simplify right side
    236,264x = 131,875,017,316
  5. Step 5: Solve for x
    x = 131,875,017,316/236,264
  6. Step 6: Final answer
    x = 558,168.05

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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.