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Finding the Third Proportional to 233,760 and 350,544

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Solution

The third proportional to 233,760 and 350,544 is: 525,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,760 : 350,544 = 350,544 : x
  2. Step 2: Convert to fraction form
    233,760/350,544 = 350,544/x
  3. Step 3: Cross multiply
    233,760x = 350,544 × 350,544
  4. Step 4: Simplify right side
    233,760x = 122,881,095,936
  5. Step 5: Solve for x
    x = 122,881,095,936/233,760
  6. Step 6: Final answer
    x = 525,672.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.