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Finding the Third Proportional to 133,429.50 and 202,893.50

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Solution

The third proportional to 133,429.50 and 202,893.50 is: 308,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,429.50 : 202,893.50 = 202,893.50 : x
  2. Step 2: Convert to fraction form
    133,429.50/202,893.50 = 202,893.50/x
  3. Step 3: Cross multiply
    133,429.50x = 202,893.50 × 202,893.50
  4. Step 4: Simplify right side
    133,429.50x = 41,165,772,342.25
  5. Step 5: Solve for x
    x = 41,165,772,342.25/133,429.50
  6. Step 6: Final answer
    x = 308,520.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.