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Finding the Third Proportional to 176,073.75 and 383,585.63

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Solution

The third proportional to 176,073.75 and 383,585.63 is: 835,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,073.75 : 383,585.63 = 383,585.63 : x
  2. Step 2: Convert to fraction form
    176,073.75/383,585.63 = 383,585.63/x
  3. Step 3: Cross multiply
    176,073.75x = 383,585.63 × 383,585.63
  4. Step 4: Simplify right side
    176,073.75x = 147,137,931,706.64
  5. Step 5: Solve for x
    x = 147,137,931,706.64/176,073.75
  6. Step 6: Final answer
    x = 835,660.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.