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Finding the Third Proportional to 176,835 and 384,450

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Solution

The third proportional to 176,835 and 384,450 is: 835,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,835 : 384,450 = 384,450 : x
  2. Step 2: Convert to fraction form
    176,835/384,450 = 384,450/x
  3. Step 3: Cross multiply
    176,835x = 384,450 × 384,450
  4. Step 4: Simplify right side
    176,835x = 147,801,802,500
  5. Step 5: Solve for x
    x = 147,801,802,500/176,835
  6. Step 6: Final answer
    x = 835,817.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.