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Finding the Third Proportional to 181,906 and 392,780

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Solution

The third proportional to 181,906 and 392,780 is: 848,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,906 : 392,780 = 392,780 : x
  2. Step 2: Convert to fraction form
    181,906/392,780 = 392,780/x
  3. Step 3: Cross multiply
    181,906x = 392,780 × 392,780
  4. Step 4: Simplify right side
    181,906x = 154,276,128,400
  5. Step 5: Solve for x
    x = 154,276,128,400/181,906
  6. Step 6: Final answer
    x = 848,109.07

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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.