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Finding the Third Proportional to 237,902 and 368,805

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Solution

The third proportional to 237,902 and 368,805 is: 571,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,902 : 368,805 = 368,805 : x
  2. Step 2: Convert to fraction form
    237,902/368,805 = 368,805/x
  3. Step 3: Cross multiply
    237,902x = 368,805 × 368,805
  4. Step 4: Simplify right side
    237,902x = 136,017,128,025
  5. Step 5: Solve for x
    x = 136,017,128,025/237,902
  6. Step 6: Final answer
    x = 571,735.96

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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.