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Finding the Third Proportional to 173,064 and 371,982

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Solution

The third proportional to 173,064 and 371,982 is: 799,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,064 : 371,982 = 371,982 : x
  2. Step 2: Convert to fraction form
    173,064/371,982 = 371,982/x
  3. Step 3: Cross multiply
    173,064x = 371,982 × 371,982
  4. Step 4: Simplify right side
    173,064x = 138,370,608,324
  5. Step 5: Solve for x
    x = 138,370,608,324/173,064
  6. Step 6: Final answer
    x = 799,534.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.