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Finding the Third Proportional to 111,354.75 and 179,288.44

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Solution

The third proportional to 111,354.75 and 179,288.44 is: 288,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,354.75 : 179,288.44 = 179,288.44 : x
  2. Step 2: Convert to fraction form
    111,354.75/179,288.44 = 179,288.44/x
  3. Step 3: Cross multiply
    111,354.75x = 179,288.44 × 179,288.44
  4. Step 4: Simplify right side
    111,354.75x = 32,144,343,821.19
  5. Step 5: Solve for x
    x = 32,144,343,821.19/111,354.75
  6. Step 6: Final answer
    x = 288,666.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.