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Finding the Third Proportional to 146,506.22 and 319,529.81

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Solution

The third proportional to 146,506.22 and 319,529.81 is: 696,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,506.22 : 319,529.81 = 319,529.81 : x
  2. Step 2: Convert to fraction form
    146,506.22/319,529.81 = 319,529.81/x
  3. Step 3: Cross multiply
    146,506.22x = 319,529.81 × 319,529.81
  4. Step 4: Simplify right side
    146,506.22x = 102,099,301,076.29
  5. Step 5: Solve for x
    x = 102,099,301,076.29/146,506.22
  6. Step 6: Final answer
    x = 696,893.97

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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.