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Finding the Third Proportional to 162,664 and 346,064

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Solution

The third proportional to 162,664 and 346,064 is: 736,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,664 : 346,064 = 346,064 : x
  2. Step 2: Convert to fraction form
    162,664/346,064 = 346,064/x
  3. Step 3: Cross multiply
    162,664x = 346,064 × 346,064
  4. Step 4: Simplify right side
    162,664x = 119,760,292,096
  5. Step 5: Solve for x
    x = 119,760,292,096/162,664
  6. Step 6: Final answer
    x = 736,243.37

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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.