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Finding the Third Proportional to 119,852 and 261,152

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Solution

The third proportional to 119,852 and 261,152 is: 569,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,852 : 261,152 = 261,152 : x
  2. Step 2: Convert to fraction form
    119,852/261,152 = 261,152/x
  3. Step 3: Cross multiply
    119,852x = 261,152 × 261,152
  4. Step 4: Simplify right side
    119,852x = 68,200,367,104
  5. Step 5: Solve for x
    x = 68,200,367,104/119,852
  6. Step 6: Final answer
    x = 569,038.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.