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Finding the Third Proportional to 173,048 and 254,242

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Solution

The third proportional to 173,048 and 254,242 is: 373,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,048 : 254,242 = 254,242 : x
  2. Step 2: Convert to fraction form
    173,048/254,242 = 254,242/x
  3. Step 3: Cross multiply
    173,048x = 254,242 × 254,242
  4. Step 4: Simplify right side
    173,048x = 64,638,994,564
  5. Step 5: Solve for x
    x = 64,638,994,564/173,048
  6. Step 6: Final answer
    x = 373,532.17

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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.