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Finding the Third Proportional to 163,719 and 244,569

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Solution

The third proportional to 163,719 and 244,569 is: 365,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,719 : 244,569 = 244,569 : x
  2. Step 2: Convert to fraction form
    163,719/244,569 = 244,569/x
  3. Step 3: Cross multiply
    163,719x = 244,569 × 244,569
  4. Step 4: Simplify right side
    163,719x = 59,813,995,761
  5. Step 5: Solve for x
    x = 59,813,995,761/163,719
  6. Step 6: Final answer
    x = 365,345.47

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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.