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Finding the Third Proportional to 201,761 and 304,153

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Solution

The third proportional to 201,761 and 304,153 is: 458,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,761 : 304,153 = 304,153 : x
  2. Step 2: Convert to fraction form
    201,761/304,153 = 304,153/x
  3. Step 3: Cross multiply
    201,761x = 304,153 × 304,153
  4. Step 4: Simplify right side
    201,761x = 92,509,047,409
  5. Step 5: Solve for x
    x = 92,509,047,409/201,761
  6. Step 6: Final answer
    x = 458,508.07

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Why These Related Problems?

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