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Finding the Third Proportional to 230,148 and 492,276.75

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Solution

The third proportional to 230,148 and 492,276.75 is: 1,052,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,148 : 492,276.75 = 492,276.75 : x
  2. Step 2: Convert to fraction form
    230,148/492,276.75 = 492,276.75/x
  3. Step 3: Cross multiply
    230,148x = 492,276.75 × 492,276.75
  4. Step 4: Simplify right side
    230,148x = 242,336,398,590.56
  5. Step 5: Solve for x
    x = 242,336,398,590.56/230,148
  6. Step 6: Final answer
    x = 1,052,958.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.