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Finding the Third Proportional to 189,175.50 and 415,211.06

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Solution

The third proportional to 189,175.50 and 415,211.06 is: 911,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,175.50 : 415,211.06 = 415,211.06 : x
  2. Step 2: Convert to fraction form
    189,175.50/415,211.06 = 415,211.06/x
  3. Step 3: Cross multiply
    189,175.50x = 415,211.06 × 415,211.06
  4. Step 4: Simplify right side
    189,175.50x = 172,400,226,422.38
  5. Step 5: Solve for x
    x = 172,400,226,422.38/189,175.50
  6. Step 6: Final answer
    x = 911,324.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.