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Finding the Third Proportional to 159,461 and 246,752

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Solution

The third proportional to 159,461 and 246,752 is: 381,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,461 : 246,752 = 246,752 : x
  2. Step 2: Convert to fraction form
    159,461/246,752 = 246,752/x
  3. Step 3: Cross multiply
    159,461x = 246,752 × 246,752
  4. Step 4: Simplify right side
    159,461x = 60,886,549,504
  5. Step 5: Solve for x
    x = 60,886,549,504/159,461
  6. Step 6: Final answer
    x = 381,827.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.