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Finding the Third Proportional to 163,854 and 244,755

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Solution

The third proportional to 163,854 and 244,755 is: 365,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,854 : 244,755 = 244,755 : x
  2. Step 2: Convert to fraction form
    163,854/244,755 = 244,755/x
  3. Step 3: Cross multiply
    163,854x = 244,755 × 244,755
  4. Step 4: Simplify right side
    163,854x = 59,905,010,025
  5. Step 5: Solve for x
    x = 59,905,010,025/163,854
  6. Step 6: Final answer
    x = 365,599.92

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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.