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Finding the Third Proportional to 164,601 and 354,172.50

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Solution

The third proportional to 164,601 and 354,172.50 is: 762,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,601 : 354,172.50 = 354,172.50 : x
  2. Step 2: Convert to fraction form
    164,601/354,172.50 = 354,172.50/x
  3. Step 3: Cross multiply
    164,601x = 354,172.50 × 354,172.50
  4. Step 4: Simplify right side
    164,601x = 125,438,159,756.25
  5. Step 5: Solve for x
    x = 125,438,159,756.25/164,601
  6. Step 6: Final answer
    x = 762,074.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.