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Finding the Third Proportional to 263,899.50 and 565,164

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Solution

The third proportional to 263,899.50 and 565,164 is: 1,210,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,899.50 : 565,164 = 565,164 : x
  2. Step 2: Convert to fraction form
    263,899.50/565,164 = 565,164/x
  3. Step 3: Cross multiply
    263,899.50x = 565,164 × 565,164
  4. Step 4: Simplify right side
    263,899.50x = 319,410,346,896
  5. Step 5: Solve for x
    x = 319,410,346,896/263,899.50
  6. Step 6: Final answer
    x = 1,210,348.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.