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Finding the Third Proportional to 118,000.50 and 186,940.50

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Solution

The third proportional to 118,000.50 and 186,940.50 is: 296,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,000.50 : 186,940.50 = 186,940.50 : x
  2. Step 2: Convert to fraction form
    118,000.50/186,940.50 = 186,940.50/x
  3. Step 3: Cross multiply
    118,000.50x = 186,940.50 × 186,940.50
  4. Step 4: Simplify right side
    118,000.50x = 34,946,750,540.25
  5. Step 5: Solve for x
    x = 34,946,750,540.25/118,000.50
  6. Step 6: Final answer
    x = 296,157.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.