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Finding the Third Proportional to 201,352.50 and 304,566.75

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Solution

The third proportional to 201,352.50 and 304,566.75 is: 460,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352.50 : 304,566.75 = 304,566.75 : x
  2. Step 2: Convert to fraction form
    201,352.50/304,566.75 = 304,566.75/x
  3. Step 3: Cross multiply
    201,352.50x = 304,566.75 × 304,566.75
  4. Step 4: Simplify right side
    201,352.50x = 92,760,905,205.56
  5. Step 5: Solve for x
    x = 92,760,905,205.56/201,352.50
  6. Step 6: Final answer
    x = 460,689.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.