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Finding the Third Proportional to 174,853.69 and 256,543.88

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Solution

The third proportional to 174,853.69 and 256,543.88 is: 376,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,853.69 : 256,543.88 = 256,543.88 : x
  2. Step 2: Convert to fraction form
    174,853.69/256,543.88 = 256,543.88/x
  3. Step 3: Cross multiply
    174,853.69x = 256,543.88 × 256,543.88
  4. Step 4: Simplify right side
    174,853.69x = 65,814,759,800.02
  5. Step 5: Solve for x
    x = 65,814,759,800.02/174,853.69
  6. Step 6: Final answer
    x = 376,399.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.