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Finding the Third Proportional to 146,401.50 and 319,575

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Solution

The third proportional to 146,401.50 and 319,575 is: 697,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,401.50 : 319,575 = 319,575 : x
  2. Step 2: Convert to fraction form
    146,401.50/319,575 = 319,575/x
  3. Step 3: Cross multiply
    146,401.50x = 319,575 × 319,575
  4. Step 4: Simplify right side
    146,401.50x = 102,128,180,625
  5. Step 5: Solve for x
    x = 102,128,180,625/146,401.50
  6. Step 6: Final answer
    x = 697,589.71

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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.