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Finding the Third Proportional to 224,254 and 373,742

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Solution

The third proportional to 224,254 and 373,742 is: 622,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,254 : 373,742 = 373,742 : x
  2. Step 2: Convert to fraction form
    224,254/373,742 = 373,742/x
  3. Step 3: Cross multiply
    224,254x = 373,742 × 373,742
  4. Step 4: Simplify right side
    224,254x = 139,683,082,564
  5. Step 5: Solve for x
    x = 139,683,082,564/224,254
  6. Step 6: Final answer
    x = 622,878.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.