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Finding the Third Proportional to 176,488 and 384,692

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Solution

The third proportional to 176,488 and 384,692 is: 838,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,488 : 384,692 = 384,692 : x
  2. Step 2: Convert to fraction form
    176,488/384,692 = 384,692/x
  3. Step 3: Cross multiply
    176,488x = 384,692 × 384,692
  4. Step 4: Simplify right side
    176,488x = 147,987,934,864
  5. Step 5: Solve for x
    x = 147,987,934,864/176,488
  6. Step 6: Final answer
    x = 838,515.56

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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.