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Finding the Third Proportional to 163,480 and 352,004

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Solution

The third proportional to 163,480 and 352,004 is: 757,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,480 : 352,004 = 352,004 : x
  2. Step 2: Convert to fraction form
    163,480/352,004 = 352,004/x
  3. Step 3: Cross multiply
    163,480x = 352,004 × 352,004
  4. Step 4: Simplify right side
    163,480x = 123,906,816,016
  5. Step 5: Solve for x
    x = 123,906,816,016/163,480
  6. Step 6: Final answer
    x = 757,932.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.