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Finding the Third Proportional to 160,223.63 and 245,868.75

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Solution

The third proportional to 160,223.63 and 245,868.75 is: 377,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,223.63 : 245,868.75 = 245,868.75 : x
  2. Step 2: Convert to fraction form
    160,223.63/245,868.75 = 245,868.75/x
  3. Step 3: Cross multiply
    160,223.63x = 245,868.75 × 245,868.75
  4. Step 4: Simplify right side
    160,223.63x = 60,451,442,226.56
  5. Step 5: Solve for x
    x = 60,451,442,226.56/160,223.63
  6. Step 6: Final answer
    x = 377,294.19

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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.