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Finding the Third Proportional to 174,965 and 256,706

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Solution

The third proportional to 174,965 and 256,706 is: 376,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,965 : 256,706 = 256,706 : x
  2. Step 2: Convert to fraction form
    174,965/256,706 = 256,706/x
  3. Step 3: Cross multiply
    174,965x = 256,706 × 256,706
  4. Step 4: Simplify right side
    174,965x = 65,897,970,436
  5. Step 5: Solve for x
    x = 65,897,970,436/174,965
  6. Step 6: Final answer
    x = 376,635.16

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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.