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Finding the Third Proportional to 204,033 and 306,050

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Solution

The third proportional to 204,033 and 306,050 is: 459,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,033 : 306,050 = 306,050 : x
  2. Step 2: Convert to fraction form
    204,033/306,050 = 306,050/x
  3. Step 3: Cross multiply
    204,033x = 306,050 × 306,050
  4. Step 4: Simplify right side
    204,033x = 93,666,602,500
  5. Step 5: Solve for x
    x = 93,666,602,500/204,033
  6. Step 6: Final answer
    x = 459,075.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.