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Finding the Third Proportional to 118,494 and 254,502

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Solution

The third proportional to 118,494 and 254,502 is: 546,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,494 : 254,502 = 254,502 : x
  2. Step 2: Convert to fraction form
    118,494/254,502 = 254,502/x
  3. Step 3: Cross multiply
    118,494x = 254,502 × 254,502
  4. Step 4: Simplify right side
    118,494x = 64,771,268,004
  5. Step 5: Solve for x
    x = 64,771,268,004/118,494
  6. Step 6: Final answer
    x = 546,620.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.