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Finding the Third Proportional to 255,793.50 and 538,101

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Solution

The third proportional to 255,793.50 and 538,101 is: 1,131,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,793.50 : 538,101 = 538,101 : x
  2. Step 2: Convert to fraction form
    255,793.50/538,101 = 538,101/x
  3. Step 3: Cross multiply
    255,793.50x = 538,101 × 538,101
  4. Step 4: Simplify right side
    255,793.50x = 289,552,686,201
  5. Step 5: Solve for x
    x = 289,552,686,201/255,793.50
  6. Step 6: Final answer
    x = 1,131,978.28

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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.