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Finding the Third Proportional to 176,565.38 and 362,436.75

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Solution

The third proportional to 176,565.38 and 362,436.75 is: 743,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,565.38 : 362,436.75 = 362,436.75 : x
  2. Step 2: Convert to fraction form
    176,565.38/362,436.75 = 362,436.75/x
  3. Step 3: Cross multiply
    176,565.38x = 362,436.75 × 362,436.75
  4. Step 4: Simplify right side
    176,565.38x = 131,360,397,750.56
  5. Step 5: Solve for x
    x = 131,360,397,750.56/176,565.38
  6. Step 6: Final answer
    x = 743,975.98

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.