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Finding the Third Proportional to 149,673.75 and 177,352.50

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Solution

The third proportional to 149,673.75 and 177,352.50 is: 210,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,673.75 : 177,352.50 = 177,352.50 : x
  2. Step 2: Convert to fraction form
    149,673.75/177,352.50 = 177,352.50/x
  3. Step 3: Cross multiply
    149,673.75x = 177,352.50 × 177,352.50
  4. Step 4: Simplify right side
    149,673.75x = 31,453,909,256.25
  5. Step 5: Solve for x
    x = 31,453,909,256.25/149,673.75
  6. Step 6: Final answer
    x = 210,149.80

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.