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Finding the Third Proportional to 118,268 and 255,490

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Solution

The third proportional to 118,268 and 255,490 is: 551,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,268 : 255,490 = 255,490 : x
  2. Step 2: Convert to fraction form
    118,268/255,490 = 255,490/x
  3. Step 3: Cross multiply
    118,268x = 255,490 × 255,490
  4. Step 4: Simplify right side
    118,268x = 65,275,140,100
  5. Step 5: Solve for x
    x = 65,275,140,100/118,268
  6. Step 6: Final answer
    x = 551,925.63

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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.