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Finding the Third Proportional to 233,725.50 and 511,191

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Solution

The third proportional to 233,725.50 and 511,191 is: 1,118,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,725.50 : 511,191 = 511,191 : x
  2. Step 2: Convert to fraction form
    233,725.50/511,191 = 511,191/x
  3. Step 3: Cross multiply
    233,725.50x = 511,191 × 511,191
  4. Step 4: Simplify right side
    233,725.50x = 261,316,238,481
  5. Step 5: Solve for x
    x = 261,316,238,481/233,725.50
  6. Step 6: Final answer
    x = 1,118,047.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.