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Finding the Third Proportional to 163,560 and 239,954

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Solution

The third proportional to 163,560 and 239,954 is: 352,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,560 : 239,954 = 239,954 : x
  2. Step 2: Convert to fraction form
    163,560/239,954 = 239,954/x
  3. Step 3: Cross multiply
    163,560x = 239,954 × 239,954
  4. Step 4: Simplify right side
    163,560x = 57,577,922,116
  5. Step 5: Solve for x
    x = 57,577,922,116/163,560
  6. Step 6: Final answer
    x = 352,029.36

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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.