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Finding the Third Proportional to 148,091 and 325,690

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Solution

The third proportional to 148,091 and 325,690 is: 716,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,091 : 325,690 = 325,690 : x
  2. Step 2: Convert to fraction form
    148,091/325,690 = 325,690/x
  3. Step 3: Cross multiply
    148,091x = 325,690 × 325,690
  4. Step 4: Simplify right side
    148,091x = 106,073,976,100
  5. Step 5: Solve for x
    x = 106,073,976,100/148,091
  6. Step 6: Final answer
    x = 716,275.64

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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.