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Finding the Third Proportional to 164,534 and 248,015

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Solution

The third proportional to 164,534 and 248,015 is: 373,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,534 : 248,015 = 248,015 : x
  2. Step 2: Convert to fraction form
    164,534/248,015 = 248,015/x
  3. Step 3: Cross multiply
    164,534x = 248,015 × 248,015
  4. Step 4: Simplify right side
    164,534x = 61,511,440,225
  5. Step 5: Solve for x
    x = 61,511,440,225/164,534
  6. Step 6: Final answer
    x = 373,852.46

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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.