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Finding the Third Proportional to 173,133 and 260,840

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Solution

The third proportional to 173,133 and 260,840 is: 392,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,133 : 260,840 = 260,840 : x
  2. Step 2: Convert to fraction form
    173,133/260,840 = 260,840/x
  3. Step 3: Cross multiply
    173,133x = 260,840 × 260,840
  4. Step 4: Simplify right side
    173,133x = 68,037,505,600
  5. Step 5: Solve for x
    x = 68,037,505,600/173,133
  6. Step 6: Final answer
    x = 392,978.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.