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Finding the Third Proportional to 116,419 and 255,700

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Solution

The third proportional to 116,419 and 255,700 is: 561,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,419 : 255,700 = 255,700 : x
  2. Step 2: Convert to fraction form
    116,419/255,700 = 255,700/x
  3. Step 3: Cross multiply
    116,419x = 255,700 × 255,700
  4. Step 4: Simplify right side
    116,419x = 65,382,490,000
  5. Step 5: Solve for x
    x = 65,382,490,000/116,419
  6. Step 6: Final answer
    x = 561,613.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.