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Finding the Third Proportional to 149,636.75 and 323,013

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Solution

The third proportional to 149,636.75 and 323,013 is: 697,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,636.75 : 323,013 = 323,013 : x
  2. Step 2: Convert to fraction form
    149,636.75/323,013 = 323,013/x
  3. Step 3: Cross multiply
    149,636.75x = 323,013 × 323,013
  4. Step 4: Simplify right side
    149,636.75x = 104,337,398,169
  5. Step 5: Solve for x
    x = 104,337,398,169/149,636.75
  6. Step 6: Final answer
    x = 697,271.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.