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Finding the Third Proportional to 116,870 and 175,305

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Solution

The third proportional to 116,870 and 175,305 is: 262,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,870 : 175,305 = 175,305 : x
  2. Step 2: Convert to fraction form
    116,870/175,305 = 175,305/x
  3. Step 3: Cross multiply
    116,870x = 175,305 × 175,305
  4. Step 4: Simplify right side
    116,870x = 30,731,843,025
  5. Step 5: Solve for x
    x = 30,731,843,025/116,870
  6. Step 6: Final answer
    x = 262,957.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.