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Finding the Third Proportional to 115,652 and 178,730

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Solution

The third proportional to 115,652 and 178,730 is: 276,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,652 : 178,730 = 178,730 : x
  2. Step 2: Convert to fraction form
    115,652/178,730 = 178,730/x
  3. Step 3: Cross multiply
    115,652x = 178,730 × 178,730
  4. Step 4: Simplify right side
    115,652x = 31,944,412,900
  5. Step 5: Solve for x
    x = 31,944,412,900/115,652
  6. Step 6: Final answer
    x = 276,211.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.