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Finding the Third Proportional to 174,526.31 and 256,245.19

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Solution

The third proportional to 174,526.31 and 256,245.19 is: 376,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,526.31 : 256,245.19 = 256,245.19 : x
  2. Step 2: Convert to fraction form
    174,526.31/256,245.19 = 256,245.19/x
  3. Step 3: Cross multiply
    174,526.31x = 256,245.19 × 256,245.19
  4. Step 4: Simplify right side
    174,526.31x = 65,661,596,116.91
  5. Step 5: Solve for x
    x = 65,661,596,116.91/174,526.31
  6. Step 6: Final answer
    x = 376,227.49

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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.