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Finding the Third Proportional to 164,527 and 248,004

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Solution

The third proportional to 164,527 and 248,004 is: 373,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,527 : 248,004 = 248,004 : x
  2. Step 2: Convert to fraction form
    164,527/248,004 = 248,004/x
  3. Step 3: Cross multiply
    164,527x = 248,004 × 248,004
  4. Step 4: Simplify right side
    164,527x = 61,505,984,016
  5. Step 5: Solve for x
    x = 61,505,984,016/164,527
  6. Step 6: Final answer
    x = 373,835.20

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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.