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Finding the Third Proportional to 175,916.81 and 384,096.94

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Solution

The third proportional to 175,916.81 and 384,096.94 is: 838,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,916.81 : 384,096.94 = 384,096.94 : x
  2. Step 2: Convert to fraction form
    175,916.81/384,096.94 = 384,096.94/x
  3. Step 3: Cross multiply
    175,916.81x = 384,096.94 × 384,096.94
  4. Step 4: Simplify right side
    175,916.81x = 147,530,457,396.88
  5. Step 5: Solve for x
    x = 147,530,457,396.88/175,916.81
  6. Step 6: Final answer
    x = 838,637.62

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Why These Related Problems?

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