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Finding the Third Proportional to 178,415.16 and 384,682.92

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Solution

The third proportional to 178,415.16 and 384,682.92 is: 829,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,415.16 : 384,682.92 = 384,682.92 : x
  2. Step 2: Convert to fraction form
    178,415.16/384,682.92 = 384,682.92/x
  3. Step 3: Cross multiply
    178,415.16x = 384,682.92 × 384,682.92
  4. Step 4: Simplify right side
    178,415.16x = 147,980,950,382.29
  5. Step 5: Solve for x
    x = 147,980,950,382.29/178,415.16
  6. Step 6: Final answer
    x = 829,419.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.