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Finding the Third Proportional to 201,927.94 and 312,624.56

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Solution

The third proportional to 201,927.94 and 312,624.56 is: 484,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,927.94 : 312,624.56 = 312,624.56 : x
  2. Step 2: Convert to fraction form
    201,927.94/312,624.56 = 312,624.56/x
  3. Step 3: Cross multiply
    201,927.94x = 312,624.56 × 312,624.56
  4. Step 4: Simplify right side
    201,927.94x = 97,734,117,078.32
  5. Step 5: Solve for x
    x = 97,734,117,078.32/201,927.94
  6. Step 6: Final answer
    x = 484,004.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.