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Finding the Third Proportional to 176,553 and 270,128

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Solution

The third proportional to 176,553 and 270,128 is: 413,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,553 : 270,128 = 270,128 : x
  2. Step 2: Convert to fraction form
    176,553/270,128 = 270,128/x
  3. Step 3: Cross multiply
    176,553x = 270,128 × 270,128
  4. Step 4: Simplify right side
    176,553x = 72,969,136,384
  5. Step 5: Solve for x
    x = 72,969,136,384/176,553
  6. Step 6: Final answer
    x = 413,298.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.