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Finding the Third Proportional to 236,471 and 367,146

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Solution

The third proportional to 236,471 and 367,146 is: 570,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,471 : 367,146 = 367,146 : x
  2. Step 2: Convert to fraction form
    236,471/367,146 = 367,146/x
  3. Step 3: Cross multiply
    236,471x = 367,146 × 367,146
  4. Step 4: Simplify right side
    236,471x = 134,796,185,316
  5. Step 5: Solve for x
    x = 134,796,185,316/236,471
  6. Step 6: Final answer
    x = 570,032.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.