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Finding the Third Proportional to 182,738 and 440,237

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Solution

The third proportional to 182,738 and 440,237 is: 1,060,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,738 : 440,237 = 440,237 : x
  2. Step 2: Convert to fraction form
    182,738/440,237 = 440,237/x
  3. Step 3: Cross multiply
    182,738x = 440,237 × 440,237
  4. Step 4: Simplify right side
    182,738x = 193,808,616,169
  5. Step 5: Solve for x
    x = 193,808,616,169/182,738
  6. Step 6: Final answer
    x = 1,060,581.91

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.