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Finding the Third Proportional to 162,813 and 254,640

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Solution

The third proportional to 162,813 and 254,640 is: 398,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,813 : 254,640 = 254,640 : x
  2. Step 2: Convert to fraction form
    162,813/254,640 = 254,640/x
  3. Step 3: Cross multiply
    162,813x = 254,640 × 254,640
  4. Step 4: Simplify right side
    162,813x = 64,841,529,600
  5. Step 5: Solve for x
    x = 64,841,529,600/162,813
  6. Step 6: Final answer
    x = 398,257.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.