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Finding the Third Proportional to 131,303 and 200,235

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Solution

The third proportional to 131,303 and 200,235 is: 305,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,303 : 200,235 = 200,235 : x
  2. Step 2: Convert to fraction form
    131,303/200,235 = 200,235/x
  3. Step 3: Cross multiply
    131,303x = 200,235 × 200,235
  4. Step 4: Simplify right side
    131,303x = 40,094,055,225
  5. Step 5: Solve for x
    x = 40,094,055,225/131,303
  6. Step 6: Final answer
    x = 305,355.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.