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Finding the Third Proportional to 193,502.25 and 410,501.25

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Solution

The third proportional to 193,502.25 and 410,501.25 is: 870,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,502.25 : 410,501.25 = 410,501.25 : x
  2. Step 2: Convert to fraction form
    193,502.25/410,501.25 = 410,501.25/x
  3. Step 3: Cross multiply
    193,502.25x = 410,501.25 × 410,501.25
  4. Step 4: Simplify right side
    193,502.25x = 168,511,276,251.56
  5. Step 5: Solve for x
    x = 168,511,276,251.56/193,502.25
  6. Step 6: Final answer
    x = 870,849.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.