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Finding the Third Proportional to 149,762.25 and 325,766.25

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Solution

The third proportional to 149,762.25 and 325,766.25 is: 708,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,762.25 : 325,766.25 = 325,766.25 : x
  2. Step 2: Convert to fraction form
    149,762.25/325,766.25 = 325,766.25/x
  3. Step 3: Cross multiply
    149,762.25x = 325,766.25 × 325,766.25
  4. Step 4: Simplify right side
    149,762.25x = 106,123,649,639.06
  5. Step 5: Solve for x
    x = 106,123,649,639.06/149,762.25
  6. Step 6: Final answer
    x = 708,614.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.