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Finding the Third Proportional to 163,584 and 239,976

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Solution

The third proportional to 163,584 and 239,976 is: 352,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,584 : 239,976 = 239,976 : x
  2. Step 2: Convert to fraction form
    163,584/239,976 = 239,976/x
  3. Step 3: Cross multiply
    163,584x = 239,976 × 239,976
  4. Step 4: Simplify right side
    163,584x = 57,588,480,576
  5. Step 5: Solve for x
    x = 57,588,480,576/163,584
  6. Step 6: Final answer
    x = 352,042.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.