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Finding the Third Proportional to 203,807.81 and 442,643.06

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Solution

The third proportional to 203,807.81 and 442,643.06 is: 961,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,807.81 : 442,643.06 = 442,643.06 : x
  2. Step 2: Convert to fraction form
    203,807.81/442,643.06 = 442,643.06/x
  3. Step 3: Cross multiply
    203,807.81x = 442,643.06 × 442,643.06
  4. Step 4: Simplify right side
    203,807.81x = 195,932,880,779.38
  5. Step 5: Solve for x
    x = 195,932,880,779.38/203,807.81
  6. Step 6: Final answer
    x = 961,360.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.