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Finding the Third Proportional to 233,487 and 350,232.75

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Solution

The third proportional to 233,487 and 350,232.75 is: 525,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,487 : 350,232.75 = 350,232.75 : x
  2. Step 2: Convert to fraction form
    233,487/350,232.75 = 350,232.75/x
  3. Step 3: Cross multiply
    233,487x = 350,232.75 × 350,232.75
  4. Step 4: Simplify right side
    233,487x = 122,662,979,172.56
  5. Step 5: Solve for x
    x = 122,662,979,172.56/233,487
  6. Step 6: Final answer
    x = 525,352.50

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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.