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Finding the Third Proportional to 178,763.50 and 262,673

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Solution

The third proportional to 178,763.50 and 262,673 is: 385,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,763.50 : 262,673 = 262,673 : x
  2. Step 2: Convert to fraction form
    178,763.50/262,673 = 262,673/x
  3. Step 3: Cross multiply
    178,763.50x = 262,673 × 262,673
  4. Step 4: Simplify right side
    178,763.50x = 68,997,104,929
  5. Step 5: Solve for x
    x = 68,997,104,929/178,763.50
  6. Step 6: Final answer
    x = 385,968.64

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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.