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Finding the Third Proportional to 230,122.50 and 492,230.25

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Solution

The third proportional to 230,122.50 and 492,230.25 is: 1,052,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,122.50 : 492,230.25 = 492,230.25 : x
  2. Step 2: Convert to fraction form
    230,122.50/492,230.25 = 492,230.25/x
  3. Step 3: Cross multiply
    230,122.50x = 492,230.25 × 492,230.25
  4. Step 4: Simplify right side
    230,122.50x = 242,290,619,015.06
  5. Step 5: Solve for x
    x = 242,290,619,015.06/230,122.50
  6. Step 6: Final answer
    x = 1,052,876.70

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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.