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Finding the Third Proportional to 207,940.50 and 297,135

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Solution

The third proportional to 207,940.50 and 297,135 is: 424,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,940.50 : 297,135 = 297,135 : x
  2. Step 2: Convert to fraction form
    207,940.50/297,135 = 297,135/x
  3. Step 3: Cross multiply
    207,940.50x = 297,135 × 297,135
  4. Step 4: Simplify right side
    207,940.50x = 88,289,208,225
  5. Step 5: Solve for x
    x = 88,289,208,225/207,940.50
  6. Step 6: Final answer
    x = 424,588.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.