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Finding the Third Proportional to 119,429.44 and 183,290.34

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Solution

The third proportional to 119,429.44 and 183,290.34 is: 281,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,429.44 : 183,290.34 = 183,290.34 : x
  2. Step 2: Convert to fraction form
    119,429.44/183,290.34 = 183,290.34/x
  3. Step 3: Cross multiply
    119,429.44x = 183,290.34 × 183,290.34
  4. Step 4: Simplify right side
    119,429.44x = 33,595,350,111.99
  5. Step 5: Solve for x
    x = 33,595,350,111.99/119,429.44
  6. Step 6: Final answer
    x = 281,298.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.