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Finding the Third Proportional to 255,114 and 531,209.25

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Solution

The third proportional to 255,114 and 531,209.25 is: 1,106,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,114 : 531,209.25 = 531,209.25 : x
  2. Step 2: Convert to fraction form
    255,114/531,209.25 = 531,209.25/x
  3. Step 3: Cross multiply
    255,114x = 531,209.25 × 531,209.25
  4. Step 4: Simplify right side
    255,114x = 282,183,267,285.56
  5. Step 5: Solve for x
    x = 282,183,267,285.56/255,114
  6. Step 6: Final answer
    x = 1,106,106.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.