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Finding the Third Proportional to 156,064 and 337,088

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Solution

The third proportional to 156,064 and 337,088 is: 728,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,064 : 337,088 = 337,088 : x
  2. Step 2: Convert to fraction form
    156,064/337,088 = 337,088/x
  3. Step 3: Cross multiply
    156,064x = 337,088 × 337,088
  4. Step 4: Simplify right side
    156,064x = 113,628,319,744
  5. Step 5: Solve for x
    x = 113,628,319,744/156,064
  6. Step 6: Final answer
    x = 728,087.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.