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Finding the Third Proportional to 118,633 and 259,153

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Solution

The third proportional to 118,633 and 259,153 is: 566,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,633 : 259,153 = 259,153 : x
  2. Step 2: Convert to fraction form
    118,633/259,153 = 259,153/x
  3. Step 3: Cross multiply
    118,633x = 259,153 × 259,153
  4. Step 4: Simplify right side
    118,633x = 67,160,277,409
  5. Step 5: Solve for x
    x = 67,160,277,409/118,633
  6. Step 6: Final answer
    x = 566,118.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.