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Finding the Third Proportional to 173,362 and 258,899

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Solution

The third proportional to 173,362 and 258,899 is: 386,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,362 : 258,899 = 258,899 : x
  2. Step 2: Convert to fraction form
    173,362/258,899 = 258,899/x
  3. Step 3: Cross multiply
    173,362x = 258,899 × 258,899
  4. Step 4: Simplify right side
    173,362x = 67,028,692,201
  5. Step 5: Solve for x
    x = 67,028,692,201/173,362
  6. Step 6: Final answer
    x = 386,640.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.