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Finding the Third Proportional to 156,701 and 235,400

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Solution

The third proportional to 156,701 and 235,400 is: 353,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,701 : 235,400 = 235,400 : x
  2. Step 2: Convert to fraction form
    156,701/235,400 = 235,400/x
  3. Step 3: Cross multiply
    156,701x = 235,400 × 235,400
  4. Step 4: Simplify right side
    156,701x = 55,413,160,000
  5. Step 5: Solve for x
    x = 55,413,160,000/156,701
  6. Step 6: Final answer
    x = 353,623.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.