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Finding the Third Proportional to 258,673.50 and 347,611.50

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Solution

The third proportional to 258,673.50 and 347,611.50 is: 467,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,673.50 : 347,611.50 = 347,611.50 : x
  2. Step 2: Convert to fraction form
    258,673.50/347,611.50 = 347,611.50/x
  3. Step 3: Cross multiply
    258,673.50x = 347,611.50 × 347,611.50
  4. Step 4: Simplify right side
    258,673.50x = 120,833,754,932.25
  5. Step 5: Solve for x
    x = 120,833,754,932.25/258,673.50
  6. Step 6: Final answer
    x = 467,128.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.