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Finding the Third Proportional to 176,972 and 382,094

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Solution

The third proportional to 176,972 and 382,094 is: 824,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,972 : 382,094 = 382,094 : x
  2. Step 2: Convert to fraction form
    176,972/382,094 = 382,094/x
  3. Step 3: Cross multiply
    176,972x = 382,094 × 382,094
  4. Step 4: Simplify right side
    176,972x = 145,995,824,836
  5. Step 5: Solve for x
    x = 145,995,824,836/176,972
  6. Step 6: Final answer
    x = 824,965.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.