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Finding the Third Proportional to 148,404 and 319,848

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Solution

The third proportional to 148,404 and 319,848 is: 689,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,404 : 319,848 = 319,848 : x
  2. Step 2: Convert to fraction form
    148,404/319,848 = 319,848/x
  3. Step 3: Cross multiply
    148,404x = 319,848 × 319,848
  4. Step 4: Simplify right side
    148,404x = 102,302,743,104
  5. Step 5: Solve for x
    x = 102,302,743,104/148,404
  6. Step 6: Final answer
    x = 689,353.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.