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Finding the Third Proportional to 122,269.50 and 257,833.13

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Solution

The third proportional to 122,269.50 and 257,833.13 is: 543,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,269.50 : 257,833.13 = 257,833.13 : x
  2. Step 2: Convert to fraction form
    122,269.50/257,833.13 = 257,833.13/x
  3. Step 3: Cross multiply
    122,269.50x = 257,833.13 × 257,833.13
  4. Step 4: Simplify right side
    122,269.50x = 66,477,920,347.27
  5. Step 5: Solve for x
    x = 66,477,920,347.27/122,269.50
  6. Step 6: Final answer
    x = 543,699.94

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