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Finding the Third Proportional to 173,129 and 260,833

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Solution

The third proportional to 173,129 and 260,833 is: 392,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,129 : 260,833 = 260,833 : x
  2. Step 2: Convert to fraction form
    173,129/260,833 = 260,833/x
  3. Step 3: Cross multiply
    173,129x = 260,833 × 260,833
  4. Step 4: Simplify right side
    173,129x = 68,033,853,889
  5. Step 5: Solve for x
    x = 68,033,853,889/173,129
  6. Step 6: Final answer
    x = 392,966.25

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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.