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Finding the Third Proportional to 233,553.38 and 313,834.50

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Solution

The third proportional to 233,553.38 and 313,834.50 is: 421,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,553.38 : 313,834.50 = 313,834.50 : x
  2. Step 2: Convert to fraction form
    233,553.38/313,834.50 = 313,834.50/x
  3. Step 3: Cross multiply
    233,553.38x = 313,834.50 × 313,834.50
  4. Step 4: Simplify right side
    233,553.38x = 98,492,093,390.25
  5. Step 5: Solve for x
    x = 98,492,093,390.25/233,553.38
  6. Step 6: Final answer
    x = 421,711.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.