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Finding the Third Proportional to 237,907 and 347,366

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Solution

The third proportional to 237,907 and 347,366 is: 507,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,907 : 347,366 = 347,366 : x
  2. Step 2: Convert to fraction form
    237,907/347,366 = 347,366/x
  3. Step 3: Cross multiply
    237,907x = 347,366 × 347,366
  4. Step 4: Simplify right side
    237,907x = 120,663,137,956
  5. Step 5: Solve for x
    x = 120,663,137,956/237,907
  6. Step 6: Final answer
    x = 507,186.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.