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Finding the Third Proportional to 214,168 and 507,374

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Solution

The third proportional to 214,168 and 507,374 is: 1,201,992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,168 : 507,374 = 507,374 : x
  2. Step 2: Convert to fraction form
    214,168/507,374 = 507,374/x
  3. Step 3: Cross multiply
    214,168x = 507,374 × 507,374
  4. Step 4: Simplify right side
    214,168x = 257,428,375,876
  5. Step 5: Solve for x
    x = 257,428,375,876/214,168
  6. Step 6: Final answer
    x = 1,201,992.72

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.