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Finding the Third Proportional to 176,364 and 270,243

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Solution

The third proportional to 176,364 and 270,243 is: 414,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,364 : 270,243 = 270,243 : x
  2. Step 2: Convert to fraction form
    176,364/270,243 = 270,243/x
  3. Step 3: Cross multiply
    176,364x = 270,243 × 270,243
  4. Step 4: Simplify right side
    176,364x = 73,031,279,049
  5. Step 5: Solve for x
    x = 73,031,279,049/176,364
  6. Step 6: Final answer
    x = 414,094.03

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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.