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Finding the Third Proportional to 203,140 and 430,856

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Solution

The third proportional to 203,140 and 430,856 is: 913,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,140 : 430,856 = 430,856 : x
  2. Step 2: Convert to fraction form
    203,140/430,856 = 430,856/x
  3. Step 3: Cross multiply
    203,140x = 430,856 × 430,856
  4. Step 4: Simplify right side
    203,140x = 185,636,892,736
  5. Step 5: Solve for x
    x = 185,636,892,736/203,140
  6. Step 6: Final answer
    x = 913,837.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.