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Finding the Third Proportional to 188,360 and 413,300

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Solution

The third proportional to 188,360 and 413,300 is: 906,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,360 : 413,300 = 413,300 : x
  2. Step 2: Convert to fraction form
    188,360/413,300 = 413,300/x
  3. Step 3: Cross multiply
    188,360x = 413,300 × 413,300
  4. Step 4: Simplify right side
    188,360x = 170,816,890,000
  5. Step 5: Solve for x
    x = 170,816,890,000/188,360
  6. Step 6: Final answer
    x = 906,863.93

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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.