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Finding the Third Proportional to 149,728.50 and 325,336.50

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Solution

The third proportional to 149,728.50 and 325,336.50 is: 706,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,728.50 : 325,336.50 = 325,336.50 : x
  2. Step 2: Convert to fraction form
    149,728.50/325,336.50 = 325,336.50/x
  3. Step 3: Cross multiply
    149,728.50x = 325,336.50 × 325,336.50
  4. Step 4: Simplify right side
    149,728.50x = 105,843,838,232.25
  5. Step 5: Solve for x
    x = 105,843,838,232.25/149,728.50
  6. Step 6: Final answer
    x = 706,905.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.