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Finding the Third Proportional to 154,422.70 and 230,284.27

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Solution

The third proportional to 154,422.70 and 230,284.27 is: 343,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,422.70 : 230,284.27 = 230,284.27 : x
  2. Step 2: Convert to fraction form
    154,422.70/230,284.27 = 230,284.27/x
  3. Step 3: Cross multiply
    154,422.70x = 230,284.27 × 230,284.27
  4. Step 4: Simplify right side
    154,422.70x = 53,030,842,994.45
  5. Step 5: Solve for x
    x = 53,030,842,994.45/154,422.70
  6. Step 6: Final answer
    x = 343,413.51

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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.