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Finding the Third Proportional to 164,836 and 248,022

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Solution

The third proportional to 164,836 and 248,022 is: 373,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,836 : 248,022 = 248,022 : x
  2. Step 2: Convert to fraction form
    164,836/248,022 = 248,022/x
  3. Step 3: Cross multiply
    164,836x = 248,022 × 248,022
  4. Step 4: Simplify right side
    164,836x = 61,514,912,484
  5. Step 5: Solve for x
    x = 61,514,912,484/164,836
  6. Step 6: Final answer
    x = 373,188.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.