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Finding the Third Proportional to 164,532 and 248,823

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Solution

The third proportional to 164,532 and 248,823 is: 376,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,532 : 248,823 = 248,823 : x
  2. Step 2: Convert to fraction form
    164,532/248,823 = 248,823/x
  3. Step 3: Cross multiply
    164,532x = 248,823 × 248,823
  4. Step 4: Simplify right side
    164,532x = 61,912,885,329
  5. Step 5: Solve for x
    x = 61,912,885,329/164,532
  6. Step 6: Final answer
    x = 376,296.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.