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Finding the Third Proportional to 122,845.50 and 258,813

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Solution

The third proportional to 122,845.50 and 258,813 is: 545,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,845.50 : 258,813 = 258,813 : x
  2. Step 2: Convert to fraction form
    122,845.50/258,813 = 258,813/x
  3. Step 3: Cross multiply
    122,845.50x = 258,813 × 258,813
  4. Step 4: Simplify right side
    122,845.50x = 66,984,168,969
  5. Step 5: Solve for x
    x = 66,984,168,969/122,845.50
  6. Step 6: Final answer
    x = 545,271.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.