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Finding the Third Proportional to 208,932 and 451,113

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Solution

The third proportional to 208,932 and 451,113 is: 974,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,932 : 451,113 = 451,113 : x
  2. Step 2: Convert to fraction form
    208,932/451,113 = 451,113/x
  3. Step 3: Cross multiply
    208,932x = 451,113 × 451,113
  4. Step 4: Simplify right side
    208,932x = 203,502,938,769
  5. Step 5: Solve for x
    x = 203,502,938,769/208,932
  6. Step 6: Final answer
    x = 974,015.18

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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.