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Finding the Third Proportional to 173,408 and 359,968

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Solution

The third proportional to 173,408 and 359,968 is: 747,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,408 : 359,968 = 359,968 : x
  2. Step 2: Convert to fraction form
    173,408/359,968 = 359,968/x
  3. Step 3: Cross multiply
    173,408x = 359,968 × 359,968
  4. Step 4: Simplify right side
    173,408x = 129,576,961,024
  5. Step 5: Solve for x
    x = 129,576,961,024/173,408
  6. Step 6: Final answer
    x = 747,237.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.