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Finding the Third Proportional to 230,378.50 and 343,792.50

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Solution

The third proportional to 230,378.50 and 343,792.50 is: 513,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,378.50 : 343,792.50 = 343,792.50 : x
  2. Step 2: Convert to fraction form
    230,378.50/343,792.50 = 343,792.50/x
  3. Step 3: Cross multiply
    230,378.50x = 343,792.50 × 343,792.50
  4. Step 4: Simplify right side
    230,378.50x = 118,193,283,056.25
  5. Step 5: Solve for x
    x = 118,193,283,056.25/230,378.50
  6. Step 6: Final answer
    x = 513,039.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.