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Finding the Third Proportional to 189,083 and 403,195

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Solution

The third proportional to 189,083 and 403,195 is: 859,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,083 : 403,195 = 403,195 : x
  2. Step 2: Convert to fraction form
    189,083/403,195 = 403,195/x
  3. Step 3: Cross multiply
    189,083x = 403,195 × 403,195
  4. Step 4: Simplify right side
    189,083x = 162,566,208,025
  5. Step 5: Solve for x
    x = 162,566,208,025/189,083
  6. Step 6: Final answer
    x = 859,761.10

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Why These Related Problems?

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