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Finding the Third Proportional to 174,882 and 256,582

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Solution

The third proportional to 174,882 and 256,582 is: 376,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,882 : 256,582 = 256,582 : x
  2. Step 2: Convert to fraction form
    174,882/256,582 = 256,582/x
  3. Step 3: Cross multiply
    174,882x = 256,582 × 256,582
  4. Step 4: Simplify right side
    174,882x = 65,834,322,724
  5. Step 5: Solve for x
    x = 65,834,322,724/174,882
  6. Step 6: Final answer
    x = 376,449.96

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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.