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Finding the Third Proportional to 199,687 and 301,610

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Solution

The third proportional to 199,687 and 301,610 is: 455,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,687 : 301,610 = 301,610 : x
  2. Step 2: Convert to fraction form
    199,687/301,610 = 301,610/x
  3. Step 3: Cross multiply
    199,687x = 301,610 × 301,610
  4. Step 4: Simplify right side
    199,687x = 90,968,592,100
  5. Step 5: Solve for x
    x = 90,968,592,100/199,687
  6. Step 6: Final answer
    x = 455,555.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.