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Finding the Third Proportional to 146,300 and 319,408

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Solution

The third proportional to 146,300 and 319,408 is: 697,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,300 : 319,408 = 319,408 : x
  2. Step 2: Convert to fraction form
    146,300/319,408 = 319,408/x
  3. Step 3: Cross multiply
    146,300x = 319,408 × 319,408
  4. Step 4: Simplify right side
    146,300x = 102,021,470,464
  5. Step 5: Solve for x
    x = 102,021,470,464/146,300
  6. Step 6: Final answer
    x = 697,344.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.