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Finding the Third Proportional to 235,033.50 and 342,706.50

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Solution

The third proportional to 235,033.50 and 342,706.50 is: 499,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,033.50 : 342,706.50 = 342,706.50 : x
  2. Step 2: Convert to fraction form
    235,033.50/342,706.50 = 342,706.50/x
  3. Step 3: Cross multiply
    235,033.50x = 342,706.50 × 342,706.50
  4. Step 4: Simplify right side
    235,033.50x = 117,447,745,142.25
  5. Step 5: Solve for x
    x = 117,447,745,142.25/235,033.50
  6. Step 6: Final answer
    x = 499,706.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.