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Finding the Third Proportional to 176,449 and 384,620

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Solution

The third proportional to 176,449 and 384,620 is: 838,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,449 : 384,620 = 384,620 : x
  2. Step 2: Convert to fraction form
    176,449/384,620 = 384,620/x
  3. Step 3: Cross multiply
    176,449x = 384,620 × 384,620
  4. Step 4: Simplify right side
    176,449x = 147,932,544,400
  5. Step 5: Solve for x
    x = 147,932,544,400/176,449
  6. Step 6: Final answer
    x = 838,386.98

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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.