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Finding the Third Proportional to 118,958 and 264,160

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Solution

The third proportional to 118,958 and 264,160 is: 586,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,958 : 264,160 = 264,160 : x
  2. Step 2: Convert to fraction form
    118,958/264,160 = 264,160/x
  3. Step 3: Cross multiply
    118,958x = 264,160 × 264,160
  4. Step 4: Simplify right side
    118,958x = 69,780,505,600
  5. Step 5: Solve for x
    x = 69,780,505,600/118,958
  6. Step 6: Final answer
    x = 586,597.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.