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Finding the Third Proportional to 149,556.38 and 322,592.63

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Solution

The third proportional to 149,556.38 and 322,592.63 is: 695,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,556.38 : 322,592.63 = 322,592.63 : x
  2. Step 2: Convert to fraction form
    149,556.38/322,592.63 = 322,592.63/x
  3. Step 3: Cross multiply
    149,556.38x = 322,592.63 × 322,592.63
  4. Step 4: Simplify right side
    149,556.38x = 104,066,001,704.39
  5. Step 5: Solve for x
    x = 104,066,001,704.39/149,556.38
  6. Step 6: Final answer
    x = 695,831.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.