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Finding the Third Proportional to 160,516 and 245,048

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Solution

The third proportional to 160,516 and 245,048 is: 374,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,516 : 245,048 = 245,048 : x
  2. Step 2: Convert to fraction form
    160,516/245,048 = 245,048/x
  3. Step 3: Cross multiply
    160,516x = 245,048 × 245,048
  4. Step 4: Simplify right side
    160,516x = 60,048,522,304
  5. Step 5: Solve for x
    x = 60,048,522,304/160,516
  6. Step 6: Final answer
    x = 374,096.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.