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Finding the Third Proportional to 146,295.56 and 319,381.88

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Solution

The third proportional to 146,295.56 and 319,381.88 is: 697,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,295.56 : 319,381.88 = 319,381.88 : x
  2. Step 2: Convert to fraction form
    146,295.56/319,381.88 = 319,381.88/x
  3. Step 3: Cross multiply
    146,295.56x = 319,381.88 × 319,381.88
  4. Step 4: Simplify right side
    146,295.56x = 102,004,782,078.52
  5. Step 5: Solve for x
    x = 102,004,782,078.52/146,295.56
  6. Step 6: Final answer
    x = 697,251.37

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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.