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Finding the Third Proportional to 152,083 and 226,879

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Solution

The third proportional to 152,083 and 226,879 is: 338,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,083 : 226,879 = 226,879 : x
  2. Step 2: Convert to fraction form
    152,083/226,879 = 226,879/x
  3. Step 3: Cross multiply
    152,083x = 226,879 × 226,879
  4. Step 4: Simplify right side
    152,083x = 51,474,080,641
  5. Step 5: Solve for x
    x = 51,474,080,641/152,083
  6. Step 6: Final answer
    x = 338,460.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.