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Finding the Third Proportional to 208,014 and 425,886

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Solution

The third proportional to 208,014 and 425,886 is: 871,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,014 : 425,886 = 425,886 : x
  2. Step 2: Convert to fraction form
    208,014/425,886 = 425,886/x
  3. Step 3: Cross multiply
    208,014x = 425,886 × 425,886
  4. Step 4: Simplify right side
    208,014x = 181,378,884,996
  5. Step 5: Solve for x
    x = 181,378,884,996/208,014
  6. Step 6: Final answer
    x = 871,955.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.