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Finding the Third Proportional to 171,358 and 256,028

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Solution

The third proportional to 171,358 and 256,028 is: 382,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,358 : 256,028 = 256,028 : x
  2. Step 2: Convert to fraction form
    171,358/256,028 = 256,028/x
  3. Step 3: Cross multiply
    171,358x = 256,028 × 256,028
  4. Step 4: Simplify right side
    171,358x = 65,550,336,784
  5. Step 5: Solve for x
    x = 65,550,336,784/171,358
  6. Step 6: Final answer
    x = 382,534.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.