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Finding the Third Proportional to 263,143 and 410,114

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Solution

The third proportional to 263,143 and 410,114 is: 639,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,143 : 410,114 = 410,114 : x
  2. Step 2: Convert to fraction form
    263,143/410,114 = 410,114/x
  3. Step 3: Cross multiply
    263,143x = 410,114 × 410,114
  4. Step 4: Simplify right side
    263,143x = 168,193,492,996
  5. Step 5: Solve for x
    x = 168,193,492,996/263,143
  6. Step 6: Final answer
    x = 639,171.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.