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Finding the Third Proportional to 250,927.50 and 514,086

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Solution

The third proportional to 250,927.50 and 514,086 is: 1,053,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,927.50 : 514,086 = 514,086 : x
  2. Step 2: Convert to fraction form
    250,927.50/514,086 = 514,086/x
  3. Step 3: Cross multiply
    250,927.50x = 514,086 × 514,086
  4. Step 4: Simplify right side
    250,927.50x = 264,284,415,396
  5. Step 5: Solve for x
    x = 264,284,415,396/250,927.50
  6. Step 6: Final answer
    x = 1,053,230.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.