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Finding the Third Proportional to 164,538 and 248,831

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Solution

The third proportional to 164,538 and 248,831 is: 376,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,538 : 248,831 = 248,831 : x
  2. Step 2: Convert to fraction form
    164,538/248,831 = 248,831/x
  3. Step 3: Cross multiply
    164,538x = 248,831 × 248,831
  4. Step 4: Simplify right side
    164,538x = 61,916,866,561
  5. Step 5: Solve for x
    x = 61,916,866,561/164,538
  6. Step 6: Final answer
    x = 376,307.40

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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.