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Finding the Third Proportional to 162,648 and 346,032

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Solution

The third proportional to 162,648 and 346,032 is: 736,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,648 : 346,032 = 346,032 : x
  2. Step 2: Convert to fraction form
    162,648/346,032 = 346,032/x
  3. Step 3: Cross multiply
    162,648x = 346,032 × 346,032
  4. Step 4: Simplify right side
    162,648x = 119,738,145,024
  5. Step 5: Solve for x
    x = 119,738,145,024/162,648
  6. Step 6: Final answer
    x = 736,179.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.