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Finding the Third Proportional to 203,364 and 445,968

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Solution

The third proportional to 203,364 and 445,968 is: 977,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,364 : 445,968 = 445,968 : x
  2. Step 2: Convert to fraction form
    203,364/445,968 = 445,968/x
  3. Step 3: Cross multiply
    203,364x = 445,968 × 445,968
  4. Step 4: Simplify right side
    203,364x = 198,887,457,024
  5. Step 5: Solve for x
    x = 198,887,457,024/203,364
  6. Step 6: Final answer
    x = 977,987.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.