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Finding the Third Proportional to 263,857.50 and 570,159

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Solution

The third proportional to 263,857.50 and 570,159 is: 1,232,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,857.50 : 570,159 = 570,159 : x
  2. Step 2: Convert to fraction form
    263,857.50/570,159 = 570,159/x
  3. Step 3: Cross multiply
    263,857.50x = 570,159 × 570,159
  4. Step 4: Simplify right side
    263,857.50x = 325,081,285,281
  5. Step 5: Solve for x
    x = 325,081,285,281/263,857.50
  6. Step 6: Final answer
    x = 1,232,033.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.