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Finding the Third Proportional to 237,966 and 368,470

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Solution

The third proportional to 237,966 and 368,470 is: 570,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,966 : 368,470 = 368,470 : x
  2. Step 2: Convert to fraction form
    237,966/368,470 = 368,470/x
  3. Step 3: Cross multiply
    237,966x = 368,470 × 368,470
  4. Step 4: Simplify right side
    237,966x = 135,770,140,900
  5. Step 5: Solve for x
    x = 135,770,140,900/237,966
  6. Step 6: Final answer
    x = 570,544.28

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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.