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Finding the Third Proportional to 230,384.25 and 472,250.25

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Solution

The third proportional to 230,384.25 and 472,250.25 is: 968,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,384.25 : 472,250.25 = 472,250.25 : x
  2. Step 2: Convert to fraction form
    230,384.25/472,250.25 = 472,250.25/x
  3. Step 3: Cross multiply
    230,384.25x = 472,250.25 × 472,250.25
  4. Step 4: Simplify right side
    230,384.25x = 223,020,298,625.06
  5. Step 5: Solve for x
    x = 223,020,298,625.06/230,384.25
  6. Step 6: Final answer
    x = 968,036.22

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.