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Finding the Third Proportional to 208,056 and 449,251

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Solution

The third proportional to 208,056 and 449,251 is: 970,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,056 : 449,251 = 449,251 : x
  2. Step 2: Convert to fraction form
    208,056/449,251 = 449,251/x
  3. Step 3: Cross multiply
    208,056x = 449,251 × 449,251
  4. Step 4: Simplify right side
    208,056x = 201,826,461,001
  5. Step 5: Solve for x
    x = 201,826,461,001/208,056
  6. Step 6: Final answer
    x = 970,058.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.