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Finding the Third Proportional to 169,782.50 and 229,761

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Solution

The third proportional to 169,782.50 and 229,761 is: 310,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,782.50 : 229,761 = 229,761 : x
  2. Step 2: Convert to fraction form
    169,782.50/229,761 = 229,761/x
  3. Step 3: Cross multiply
    169,782.50x = 229,761 × 229,761
  4. Step 4: Simplify right side
    169,782.50x = 52,790,117,121
  5. Step 5: Solve for x
    x = 52,790,117,121/169,782.50
  6. Step 6: Final answer
    x = 310,927.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.