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Finding the Third Proportional to 133,572 and 289,968

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Solution

The third proportional to 133,572 and 289,968 is: 629,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,572 : 289,968 = 289,968 : x
  2. Step 2: Convert to fraction form
    133,572/289,968 = 289,968/x
  3. Step 3: Cross multiply
    133,572x = 289,968 × 289,968
  4. Step 4: Simplify right side
    133,572x = 84,081,441,024
  5. Step 5: Solve for x
    x = 84,081,441,024/133,572
  6. Step 6: Final answer
    x = 629,484.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.