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Finding the Third Proportional to 146,893.50 and 344,877.75

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Solution

The third proportional to 146,893.50 and 344,877.75 is: 809,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,893.50 : 344,877.75 = 344,877.75 : x
  2. Step 2: Convert to fraction form
    146,893.50/344,877.75 = 344,877.75/x
  3. Step 3: Cross multiply
    146,893.50x = 344,877.75 × 344,877.75
  4. Step 4: Simplify right side
    146,893.50x = 118,940,662,445.06
  5. Step 5: Solve for x
    x = 118,940,662,445.06/146,893.50
  6. Step 6: Final answer
    x = 809,706.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.