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Finding the Third Proportional to 163,746 and 244,605

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Solution

The third proportional to 163,746 and 244,605 is: 365,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,746 : 244,605 = 244,605 : x
  2. Step 2: Convert to fraction form
    163,746/244,605 = 244,605/x
  3. Step 3: Cross multiply
    163,746x = 244,605 × 244,605
  4. Step 4: Simplify right side
    163,746x = 59,831,606,025
  5. Step 5: Solve for x
    x = 59,831,606,025/163,746
  6. Step 6: Final answer
    x = 365,392.78

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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.