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Finding the Third Proportional to 170,245.63 and 254,458.63

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Solution

The third proportional to 170,245.63 and 254,458.63 is: 380,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,245.63 : 254,458.63 = 254,458.63 : x
  2. Step 2: Convert to fraction form
    170,245.63/254,458.63 = 254,458.63/x
  3. Step 3: Cross multiply
    170,245.63x = 254,458.63 × 254,458.63
  4. Step 4: Simplify right side
    170,245.63x = 64,749,191,836.89
  5. Step 5: Solve for x
    x = 64,749,191,836.89/170,245.63
  6. Step 6: Final answer
    x = 380,328.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.