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Finding the Third Proportional to 214,166 and 507,371

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Solution

The third proportional to 214,166 and 507,371 is: 1,201,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,166 : 507,371 = 507,371 : x
  2. Step 2: Convert to fraction form
    214,166/507,371 = 507,371/x
  3. Step 3: Cross multiply
    214,166x = 507,371 × 507,371
  4. Step 4: Simplify right side
    214,166x = 257,425,331,641
  5. Step 5: Solve for x
    x = 257,425,331,641/214,166
  6. Step 6: Final answer
    x = 1,201,989.73

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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.