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Finding the Third Proportional to 149,323.50 and 322,400.25

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Solution

The third proportional to 149,323.50 and 322,400.25 is: 696,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,323.50 : 322,400.25 = 322,400.25 : x
  2. Step 2: Convert to fraction form
    149,323.50/322,400.25 = 322,400.25/x
  3. Step 3: Cross multiply
    149,323.50x = 322,400.25 × 322,400.25
  4. Step 4: Simplify right side
    149,323.50x = 103,941,921,200.06
  5. Step 5: Solve for x
    x = 103,941,921,200.06/149,323.50
  6. Step 6: Final answer
    x = 696,085.49

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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.