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Finding the Third Proportional to 255,082.50 and 556,086

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Solution

The third proportional to 255,082.50 and 556,086 is: 1,212,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,082.50 : 556,086 = 556,086 : x
  2. Step 2: Convert to fraction form
    255,082.50/556,086 = 556,086/x
  3. Step 3: Cross multiply
    255,082.50x = 556,086 × 556,086
  4. Step 4: Simplify right side
    255,082.50x = 309,231,639,396
  5. Step 5: Solve for x
    x = 309,231,639,396/255,082.50
  6. Step 6: Final answer
    x = 1,212,280.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.