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Finding the Third Proportional to 255,162 and 542,583

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Solution

The third proportional to 255,162 and 542,583 is: 1,153,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,162 : 542,583 = 542,583 : x
  2. Step 2: Convert to fraction form
    255,162/542,583 = 542,583/x
  3. Step 3: Cross multiply
    255,162x = 542,583 × 542,583
  4. Step 4: Simplify right side
    255,162x = 294,396,311,889
  5. Step 5: Solve for x
    x = 294,396,311,889/255,162
  6. Step 6: Final answer
    x = 1,153,762.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.