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Finding the Third Proportional to 188,248 and 413,360

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Solution

The third proportional to 188,248 and 413,360 is: 907,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,248 : 413,360 = 413,360 : x
  2. Step 2: Convert to fraction form
    188,248/413,360 = 413,360/x
  3. Step 3: Cross multiply
    188,248x = 413,360 × 413,360
  4. Step 4: Simplify right side
    188,248x = 170,866,489,600
  5. Step 5: Solve for x
    x = 170,866,489,600/188,248
  6. Step 6: Final answer
    x = 907,666.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.