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Finding the Third Proportional to 224,899.88 and 337,997.81

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Solution

The third proportional to 224,899.88 and 337,997.81 is: 507,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,899.88 : 337,997.81 = 337,997.81 : x
  2. Step 2: Convert to fraction form
    224,899.88/337,997.81 = 337,997.81/x
  3. Step 3: Cross multiply
    224,899.88x = 337,997.81 × 337,997.81
  4. Step 4: Simplify right side
    224,899.88x = 114,242,521,254.79
  5. Step 5: Solve for x
    x = 114,242,521,254.79/224,899.88
  6. Step 6: Final answer
    x = 507,970.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.