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Finding the Third Proportional to 160,442 and 246,633

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Solution

The third proportional to 160,442 and 246,633 is: 379,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,442 : 246,633 = 246,633 : x
  2. Step 2: Convert to fraction form
    160,442/246,633 = 246,633/x
  3. Step 3: Cross multiply
    160,442x = 246,633 × 246,633
  4. Step 4: Simplify right side
    160,442x = 60,827,836,689
  5. Step 5: Solve for x
    x = 60,827,836,689/160,442
  6. Step 6: Final answer
    x = 379,126.64

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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.