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Finding the Third Proportional to 118,166.34 and 254,990.53

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Solution

The third proportional to 118,166.34 and 254,990.53 is: 550,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,166.34 : 254,990.53 = 254,990.53 : x
  2. Step 2: Convert to fraction form
    118,166.34/254,990.53 = 254,990.53/x
  3. Step 3: Cross multiply
    118,166.34x = 254,990.53 × 254,990.53
  4. Step 4: Simplify right side
    118,166.34x = 65,020,171,027.16
  5. Step 5: Solve for x
    x = 65,020,171,027.16/118,166.34
  6. Step 6: Final answer
    x = 550,242.73

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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.