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Finding the Third Proportional to 149,435.25 and 322,485

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Solution

The third proportional to 149,435.25 and 322,485 is: 695,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,435.25 : 322,485 = 322,485 : x
  2. Step 2: Convert to fraction form
    149,435.25/322,485 = 322,485/x
  3. Step 3: Cross multiply
    149,435.25x = 322,485 × 322,485
  4. Step 4: Simplify right side
    149,435.25x = 103,996,575,225
  5. Step 5: Solve for x
    x = 103,996,575,225/149,435.25
  6. Step 6: Final answer
    x = 695,930.68

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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.