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Finding the Third Proportional to 254,280 and 373,536

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Solution

The third proportional to 254,280 and 373,536 is: 548,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,280 : 373,536 = 373,536 : x
  2. Step 2: Convert to fraction form
    254,280/373,536 = 373,536/x
  3. Step 3: Cross multiply
    254,280x = 373,536 × 373,536
  4. Step 4: Simplify right side
    254,280x = 139,529,143,296
  5. Step 5: Solve for x
    x = 139,529,143,296/254,280
  6. Step 6: Final answer
    x = 548,722.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.