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Finding the Third Proportional to 208,146 and 491,097

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Solution

The third proportional to 208,146 and 491,097 is: 1,158,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,146 : 491,097 = 491,097 : x
  2. Step 2: Convert to fraction form
    208,146/491,097 = 491,097/x
  3. Step 3: Cross multiply
    208,146x = 491,097 × 491,097
  4. Step 4: Simplify right side
    208,146x = 241,176,263,409
  5. Step 5: Solve for x
    x = 241,176,263,409/208,146
  6. Step 6: Final answer
    x = 1,158,687.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.