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Finding the Third Proportional to 176,043.38 and 384,345

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Solution

The third proportional to 176,043.38 and 384,345 is: 839,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,043.38 : 384,345 = 384,345 : x
  2. Step 2: Convert to fraction form
    176,043.38/384,345 = 384,345/x
  3. Step 3: Cross multiply
    176,043.38x = 384,345 × 384,345
  4. Step 4: Simplify right side
    176,043.38x = 147,721,079,025
  5. Step 5: Solve for x
    x = 147,721,079,025/176,043.38
  6. Step 6: Final answer
    x = 839,117.51

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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.