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Finding the Third Proportional to 149,324 and 324,887

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Solution

The third proportional to 149,324 and 324,887 is: 706,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,324 : 324,887 = 324,887 : x
  2. Step 2: Convert to fraction form
    149,324/324,887 = 324,887/x
  3. Step 3: Cross multiply
    149,324x = 324,887 × 324,887
  4. Step 4: Simplify right side
    149,324x = 105,551,562,769
  5. Step 5: Solve for x
    x = 105,551,562,769/149,324
  6. Step 6: Final answer
    x = 706,862.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.