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Finding the Third Proportional to 260,700.75 and 349,174.13

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Solution

The third proportional to 260,700.75 and 349,174.13 is: 467,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,700.75 : 349,174.13 = 349,174.13 : x
  2. Step 2: Convert to fraction form
    260,700.75/349,174.13 = 349,174.13/x
  3. Step 3: Cross multiply
    260,700.75x = 349,174.13 × 349,174.13
  4. Step 4: Simplify right side
    260,700.75x = 121,922,569,569.52
  5. Step 5: Solve for x
    x = 121,922,569,569.52/260,700.75
  6. Step 6: Final answer
    x = 467,672.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.