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Finding the Third Proportional to 255,424.50 and 555,057

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Solution

The third proportional to 255,424.50 and 555,057 is: 1,206,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,424.50 : 555,057 = 555,057 : x
  2. Step 2: Convert to fraction form
    255,424.50/555,057 = 555,057/x
  3. Step 3: Cross multiply
    255,424.50x = 555,057 × 555,057
  4. Step 4: Simplify right side
    255,424.50x = 308,088,273,249
  5. Step 5: Solve for x
    x = 308,088,273,249/255,424.50
  6. Step 6: Final answer
    x = 1,206,181.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.