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Finding the Third Proportional to 160,440 and 246,630

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Solution

The third proportional to 160,440 and 246,630 is: 379,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,440 : 246,630 = 246,630 : x
  2. Step 2: Convert to fraction form
    160,440/246,630 = 246,630/x
  3. Step 3: Cross multiply
    160,440x = 246,630 × 246,630
  4. Step 4: Simplify right side
    160,440x = 60,826,356,900
  5. Step 5: Solve for x
    x = 60,826,356,900/160,440
  6. Step 6: Final answer
    x = 379,122.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.