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Finding the Third Proportional to 118,457 and 255,881

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Solution

The third proportional to 118,457 and 255,881 is: 552,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,457 : 255,881 = 255,881 : x
  2. Step 2: Convert to fraction form
    118,457/255,881 = 255,881/x
  3. Step 3: Cross multiply
    118,457x = 255,881 × 255,881
  4. Step 4: Simplify right side
    118,457x = 65,475,086,161
  5. Step 5: Solve for x
    x = 65,475,086,161/118,457
  6. Step 6: Final answer
    x = 552,732.94

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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.