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Finding the Third Proportional to 175,533.75 and 264,872.53

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Solution

The third proportional to 175,533.75 and 264,872.53 is: 399,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,533.75 : 264,872.53 = 264,872.53 : x
  2. Step 2: Convert to fraction form
    175,533.75/264,872.53 = 264,872.53/x
  3. Step 3: Cross multiply
    175,533.75x = 264,872.53 × 264,872.53
  4. Step 4: Simplify right side
    175,533.75x = 70,157,457,810.78
  5. Step 5: Solve for x
    x = 70,157,457,810.78/175,533.75
  6. Step 6: Final answer
    x = 399,680.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.