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Finding the Third Proportional to 163,752 and 244,616

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Solution

The third proportional to 163,752 and 244,616 is: 365,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,752 : 244,616 = 244,616 : x
  2. Step 2: Convert to fraction form
    163,752/244,616 = 244,616/x
  3. Step 3: Cross multiply
    163,752x = 244,616 × 244,616
  4. Step 4: Simplify right side
    163,752x = 59,836,987,456
  5. Step 5: Solve for x
    x = 59,836,987,456/163,752
  6. Step 6: Final answer
    x = 365,412.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.