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Finding the Third Proportional to 181,328.63 and 318,765.38

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Solution

The third proportional to 181,328.63 and 318,765.38 is: 560,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,328.63 : 318,765.38 = 318,765.38 : x
  2. Step 2: Convert to fraction form
    181,328.63/318,765.38 = 318,765.38/x
  3. Step 3: Cross multiply
    181,328.63x = 318,765.38 × 318,765.38
  4. Step 4: Simplify right side
    181,328.63x = 101,611,364,298.89
  5. Step 5: Solve for x
    x = 101,611,364,298.89/181,328.63
  6. Step 6: Final answer
    x = 560,371.34

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.