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Finding the Third Proportional to 122,239.13 and 257,752.13

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Solution

The third proportional to 122,239.13 and 257,752.13 is: 543,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,239.13 : 257,752.13 = 257,752.13 : x
  2. Step 2: Convert to fraction form
    122,239.13/257,752.13 = 257,752.13/x
  3. Step 3: Cross multiply
    122,239.13x = 257,752.13 × 257,752.13
  4. Step 4: Simplify right side
    122,239.13x = 66,436,157,942.02
  5. Step 5: Solve for x
    x = 66,436,157,942.02/122,239.13
  6. Step 6: Final answer
    x = 543,493.40

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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.