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Finding the Third Proportional to 118,261 and 262,765

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Solution

The third proportional to 118,261 and 262,765 is: 583,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,261 : 262,765 = 262,765 : x
  2. Step 2: Convert to fraction form
    118,261/262,765 = 262,765/x
  3. Step 3: Cross multiply
    118,261x = 262,765 × 262,765
  4. Step 4: Simplify right side
    118,261x = 69,045,445,225
  5. Step 5: Solve for x
    x = 69,045,445,225/118,261
  6. Step 6: Final answer
    x = 583,839.52

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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.