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Finding the Third Proportional to 177,358.50 and 260,851.50

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Solution

The third proportional to 177,358.50 and 260,851.50 is: 383,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,358.50 : 260,851.50 = 260,851.50 : x
  2. Step 2: Convert to fraction form
    177,358.50/260,851.50 = 260,851.50/x
  3. Step 3: Cross multiply
    177,358.50x = 260,851.50 × 260,851.50
  4. Step 4: Simplify right side
    177,358.50x = 68,043,505,052.25
  5. Step 5: Solve for x
    x = 68,043,505,052.25/177,358.50
  6. Step 6: Final answer
    x = 383,649.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.