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Finding the Third Proportional to 255,796 and 538,106

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Solution

The third proportional to 255,796 and 538,106 is: 1,131,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,796 : 538,106 = 538,106 : x
  2. Step 2: Convert to fraction form
    255,796/538,106 = 538,106/x
  3. Step 3: Cross multiply
    255,796x = 538,106 × 538,106
  4. Step 4: Simplify right side
    255,796x = 289,558,067,236
  5. Step 5: Solve for x
    x = 289,558,067,236/255,796
  6. Step 6: Final answer
    x = 1,131,988.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.