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Finding the Third Proportional to 147,816 and 262,800

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Solution

The third proportional to 147,816 and 262,800 is: 467,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,816 : 262,800 = 262,800 : x
  2. Step 2: Convert to fraction form
    147,816/262,800 = 262,800/x
  3. Step 3: Cross multiply
    147,816x = 262,800 × 262,800
  4. Step 4: Simplify right side
    147,816x = 69,063,840,000
  5. Step 5: Solve for x
    x = 69,063,840,000/147,816
  6. Step 6: Final answer
    x = 467,228.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.