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Finding the Third Proportional to 214,166.50 and 507,372

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Solution

The third proportional to 214,166.50 and 507,372 is: 1,201,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,166.50 : 507,372 = 507,372 : x
  2. Step 2: Convert to fraction form
    214,166.50/507,372 = 507,372/x
  3. Step 3: Cross multiply
    214,166.50x = 507,372 × 507,372
  4. Step 4: Simplify right side
    214,166.50x = 257,426,346,384
  5. Step 5: Solve for x
    x = 257,426,346,384/214,166.50
  6. Step 6: Final answer
    x = 1,201,991.66

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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.