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Finding the Third Proportional to 149,544.50 and 322,569

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Solution

The third proportional to 149,544.50 and 322,569 is: 695,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,544.50 : 322,569 = 322,569 : x
  2. Step 2: Convert to fraction form
    149,544.50/322,569 = 322,569/x
  3. Step 3: Cross multiply
    149,544.50x = 322,569 × 322,569
  4. Step 4: Simplify right side
    149,544.50x = 104,050,759,761
  5. Step 5: Solve for x
    x = 104,050,759,761/149,544.50
  6. Step 6: Final answer
    x = 695,784.60

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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.