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Finding the Third Proportional to 188,253 and 413,370

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Solution

The third proportional to 188,253 and 413,370 is: 907,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,253 : 413,370 = 413,370 : x
  2. Step 2: Convert to fraction form
    188,253/413,370 = 413,370/x
  3. Step 3: Cross multiply
    188,253x = 413,370 × 413,370
  4. Step 4: Simplify right side
    188,253x = 170,874,756,900
  5. Step 5: Solve for x
    x = 170,874,756,900/188,253
  6. Step 6: Final answer
    x = 907,686.77

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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.