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Finding the Third Proportional to 123,201 and 264,806.25

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Solution

The third proportional to 123,201 and 264,806.25 is: 569,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,201 : 264,806.25 = 264,806.25 : x
  2. Step 2: Convert to fraction form
    123,201/264,806.25 = 264,806.25/x
  3. Step 3: Cross multiply
    123,201x = 264,806.25 × 264,806.25
  4. Step 4: Simplify right side
    123,201x = 70,122,350,039.06
  5. Step 5: Solve for x
    x = 70,122,350,039.06/123,201
  6. Step 6: Final answer
    x = 569,170.30

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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.