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Finding the Third Proportional to 174,864 and 256,557

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Solution

The third proportional to 174,864 and 256,557 is: 376,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,864 : 256,557 = 256,557 : x
  2. Step 2: Convert to fraction form
    174,864/256,557 = 256,557/x
  3. Step 3: Cross multiply
    174,864x = 256,557 × 256,557
  4. Step 4: Simplify right side
    174,864x = 65,821,494,249
  5. Step 5: Solve for x
    x = 65,821,494,249/174,864
  6. Step 6: Final answer
    x = 376,415.35

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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.