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Finding the Third Proportional to 233,152 and 511,136

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Solution

The third proportional to 233,152 and 511,136 is: 1,120,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,152 : 511,136 = 511,136 : x
  2. Step 2: Convert to fraction form
    233,152/511,136 = 511,136/x
  3. Step 3: Cross multiply
    233,152x = 511,136 × 511,136
  4. Step 4: Simplify right side
    233,152x = 261,260,010,496
  5. Step 5: Solve for x
    x = 261,260,010,496/233,152
  6. Step 6: Final answer
    x = 1,120,556.59

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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.