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Finding the Third Proportional to 181,112 and 385,584

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Solution

The third proportional to 181,112 and 385,584 is: 820,901.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,112 : 385,584 = 385,584 : x
  2. Step 2: Convert to fraction form
    181,112/385,584 = 385,584/x
  3. Step 3: Cross multiply
    181,112x = 385,584 × 385,584
  4. Step 4: Simplify right side
    181,112x = 148,675,021,056
  5. Step 5: Solve for x
    x = 148,675,021,056/181,112
  6. Step 6: Final answer
    x = 820,901.00

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.