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Finding the Third Proportional to 149,610 and 324,652.25

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Solution

The third proportional to 149,610 and 324,652.25 is: 704,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,610 : 324,652.25 = 324,652.25 : x
  2. Step 2: Convert to fraction form
    149,610/324,652.25 = 324,652.25/x
  3. Step 3: Cross multiply
    149,610x = 324,652.25 × 324,652.25
  4. Step 4: Simplify right side
    149,610x = 105,399,083,430.06
  5. Step 5: Solve for x
    x = 105,399,083,430.06/149,610
  6. Step 6: Final answer
    x = 704,492.24

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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.