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Finding the Third Proportional to 78,285.50 and 174,500.50

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Solution

The third proportional to 78,285.50 and 174,500.50 is: 388,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,285.50 : 174,500.50 = 174,500.50 : x
  2. Step 2: Convert to fraction form
    78,285.50/174,500.50 = 174,500.50/x
  3. Step 3: Cross multiply
    78,285.50x = 174,500.50 × 174,500.50
  4. Step 4: Simplify right side
    78,285.50x = 30,450,424,500.25
  5. Step 5: Solve for x
    x = 30,450,424,500.25/78,285.50
  6. Step 6: Final answer
    x = 388,966.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.