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Finding the Third Proportional to 149,774.25 and 325,792.50

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Solution

The third proportional to 149,774.25 and 325,792.50 is: 708,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,774.25 : 325,792.50 = 325,792.50 : x
  2. Step 2: Convert to fraction form
    149,774.25/325,792.50 = 325,792.50/x
  3. Step 3: Cross multiply
    149,774.25x = 325,792.50 × 325,792.50
  4. Step 4: Simplify right side
    149,774.25x = 106,140,753,056.25
  5. Step 5: Solve for x
    x = 106,140,753,056.25/149,774.25
  6. Step 6: Final answer
    x = 708,671.57

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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.