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Finding the Third Proportional to 237,884 and 368,907

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Solution

The third proportional to 237,884 and 368,907 is: 572,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,884 : 368,907 = 368,907 : x
  2. Step 2: Convert to fraction form
    237,884/368,907 = 368,907/x
  3. Step 3: Cross multiply
    237,884x = 368,907 × 368,907
  4. Step 4: Simplify right side
    237,884x = 136,092,374,649
  5. Step 5: Solve for x
    x = 136,092,374,649/237,884
  6. Step 6: Final answer
    x = 572,095.54

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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.