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Finding the Third Proportional to 176,040 and 384,192

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Solution

The third proportional to 176,040 and 384,192 is: 838,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,040 : 384,192 = 384,192 : x
  2. Step 2: Convert to fraction form
    176,040/384,192 = 384,192/x
  3. Step 3: Cross multiply
    176,040x = 384,192 × 384,192
  4. Step 4: Simplify right side
    176,040x = 147,603,492,864
  5. Step 5: Solve for x
    x = 147,603,492,864/176,040
  6. Step 6: Final answer
    x = 838,465.65

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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.