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Finding the Third Proportional to 232,842 and 355,946

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Solution

The third proportional to 232,842 and 355,946 is: 544,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,842 : 355,946 = 355,946 : x
  2. Step 2: Convert to fraction form
    232,842/355,946 = 355,946/x
  3. Step 3: Cross multiply
    232,842x = 355,946 × 355,946
  4. Step 4: Simplify right side
    232,842x = 126,697,554,916
  5. Step 5: Solve for x
    x = 126,697,554,916/232,842
  6. Step 6: Final answer
    x = 544,135.31

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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.