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Finding the Third Proportional to 159,355 and 366,987

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Solution

The third proportional to 159,355 and 366,987 is: 845,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,355 : 366,987 = 366,987 : x
  2. Step 2: Convert to fraction form
    159,355/366,987 = 366,987/x
  3. Step 3: Cross multiply
    159,355x = 366,987 × 366,987
  4. Step 4: Simplify right side
    159,355x = 134,679,458,169
  5. Step 5: Solve for x
    x = 134,679,458,169/159,355
  6. Step 6: Final answer
    x = 845,153.64

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.