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Finding the Third Proportional to 175,046 and 381,772

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Solution

The third proportional to 175,046 and 381,772 is: 832,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,046 : 381,772 = 381,772 : x
  2. Step 2: Convert to fraction form
    175,046/381,772 = 381,772/x
  3. Step 3: Cross multiply
    175,046x = 381,772 × 381,772
  4. Step 4: Simplify right side
    175,046x = 145,749,859,984
  5. Step 5: Solve for x
    x = 145,749,859,984/175,046
  6. Step 6: Final answer
    x = 832,637.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.