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Finding the Third Proportional to 162,868 and 353,576

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Solution

The third proportional to 162,868 and 353,576 is: 767,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,868 : 353,576 = 353,576 : x
  2. Step 2: Convert to fraction form
    162,868/353,576 = 353,576/x
  3. Step 3: Cross multiply
    162,868x = 353,576 × 353,576
  4. Step 4: Simplify right side
    162,868x = 125,015,987,776
  5. Step 5: Solve for x
    x = 125,015,987,776/162,868
  6. Step 6: Final answer
    x = 767,590.86

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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.