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Finding the Third Proportional to 175,916.81 and 385,048.69

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Solution

The third proportional to 175,916.81 and 385,048.69 is: 842,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,916.81 : 385,048.69 = 385,048.69 : x
  2. Step 2: Convert to fraction form
    175,916.81/385,048.69 = 385,048.69/x
  3. Step 3: Cross multiply
    175,916.81x = 385,048.69 × 385,048.69
  4. Step 4: Simplify right side
    175,916.81x = 148,262,491,745.47
  5. Step 5: Solve for x
    x = 148,262,491,745.47/175,916.81
  6. Step 6: Final answer
    x = 842,798.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.