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Finding the Third Proportional to 172,460 and 257,628

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Solution

The third proportional to 172,460 and 257,628 is: 384,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,460 : 257,628 = 257,628 : x
  2. Step 2: Convert to fraction form
    172,460/257,628 = 257,628/x
  3. Step 3: Cross multiply
    172,460x = 257,628 × 257,628
  4. Step 4: Simplify right side
    172,460x = 66,372,186,384
  5. Step 5: Solve for x
    x = 66,372,186,384/172,460
  6. Step 6: Final answer
    x = 384,855.54

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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.