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Finding the Third Proportional to 148,051 and 325,620

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Solution

The third proportional to 148,051 and 325,620 is: 716,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,051 : 325,620 = 325,620 : x
  2. Step 2: Convert to fraction form
    148,051/325,620 = 325,620/x
  3. Step 3: Cross multiply
    148,051x = 325,620 × 325,620
  4. Step 4: Simplify right side
    148,051x = 106,028,384,400
  5. Step 5: Solve for x
    x = 106,028,384,400/148,051
  6. Step 6: Final answer
    x = 716,161.22

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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.