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Finding the Third Proportional to 160,518 and 245,051

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Solution

The third proportional to 160,518 and 245,051 is: 374,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,518 : 245,051 = 245,051 : x
  2. Step 2: Convert to fraction form
    160,518/245,051 = 245,051/x
  3. Step 3: Cross multiply
    160,518x = 245,051 × 245,051
  4. Step 4: Simplify right side
    160,518x = 60,049,992,601
  5. Step 5: Solve for x
    x = 60,049,992,601/160,518
  6. Step 6: Final answer
    x = 374,101.30

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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.