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Finding the Third Proportional to 173,116 and 260,813

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Solution

The third proportional to 173,116 and 260,813 is: 392,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,116 : 260,813 = 260,813 : x
  2. Step 2: Convert to fraction form
    173,116/260,813 = 260,813/x
  3. Step 3: Cross multiply
    173,116x = 260,813 × 260,813
  4. Step 4: Simplify right side
    173,116x = 68,023,420,969
  5. Step 5: Solve for x
    x = 68,023,420,969/173,116
  6. Step 6: Final answer
    x = 392,935.49

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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.