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Finding the Third Proportional to 149,341.50 and 352,415.25

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Solution

The third proportional to 149,341.50 and 352,415.25 is: 831,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,341.50 : 352,415.25 = 352,415.25 : x
  2. Step 2: Convert to fraction form
    149,341.50/352,415.25 = 352,415.25/x
  3. Step 3: Cross multiply
    149,341.50x = 352,415.25 × 352,415.25
  4. Step 4: Simplify right side
    149,341.50x = 124,196,508,432.56
  5. Step 5: Solve for x
    x = 124,196,508,432.56/149,341.50
  6. Step 6: Final answer
    x = 831,627.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.