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Finding the Third Proportional to 115,830.75 and 253,804.75

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Solution

The third proportional to 115,830.75 and 253,804.75 is: 556,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,830.75 : 253,804.75 = 253,804.75 : x
  2. Step 2: Convert to fraction form
    115,830.75/253,804.75 = 253,804.75/x
  3. Step 3: Cross multiply
    115,830.75x = 253,804.75 × 253,804.75
  4. Step 4: Simplify right side
    115,830.75x = 64,416,851,122.56
  5. Step 5: Solve for x
    x = 64,416,851,122.56/115,830.75
  6. Step 6: Final answer
    x = 556,129.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.