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Finding the Third Proportional to 343,380.50 and 505,143.50

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Solution

The third proportional to 343,380.50 and 505,143.50 is: 743,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,380.50 : 505,143.50 = 505,143.50 : x
  2. Step 2: Convert to fraction form
    343,380.50/505,143.50 = 505,143.50/x
  3. Step 3: Cross multiply
    343,380.50x = 505,143.50 × 505,143.50
  4. Step 4: Simplify right side
    343,380.50x = 255,169,955,592.25
  5. Step 5: Solve for x
    x = 255,169,955,592.25/343,380.50
  6. Step 6: Final answer
    x = 743,111.38

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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.