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Finding the Third Proportional to 210,824 and 273,588

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Solution

The third proportional to 210,824 and 273,588 is: 355,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,824 : 273,588 = 273,588 : x
  2. Step 2: Convert to fraction form
    210,824/273,588 = 273,588/x
  3. Step 3: Cross multiply
    210,824x = 273,588 × 273,588
  4. Step 4: Simplify right side
    210,824x = 74,850,393,744
  5. Step 5: Solve for x
    x = 74,850,393,744/210,824
  6. Step 6: Final answer
    x = 355,037.35

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.