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Finding the Third Proportional to 156,124.50 and 338,497.50

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Solution

The third proportional to 156,124.50 and 338,497.50 is: 733,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,124.50 : 338,497.50 = 338,497.50 : x
  2. Step 2: Convert to fraction form
    156,124.50/338,497.50 = 338,497.50/x
  3. Step 3: Cross multiply
    156,124.50x = 338,497.50 × 338,497.50
  4. Step 4: Simplify right side
    156,124.50x = 114,580,557,506.25
  5. Step 5: Solve for x
    x = 114,580,557,506.25/156,124.50
  6. Step 6: Final answer
    x = 733,905.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.