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Finding the Third Proportional to 148,762 and 327,008

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Solution

The third proportional to 148,762 and 327,008 is: 718,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,762 : 327,008 = 327,008 : x
  2. Step 2: Convert to fraction form
    148,762/327,008 = 327,008/x
  3. Step 3: Cross multiply
    148,762x = 327,008 × 327,008
  4. Step 4: Simplify right side
    148,762x = 106,934,232,064
  5. Step 5: Solve for x
    x = 106,934,232,064/148,762
  6. Step 6: Final answer
    x = 718,827.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.