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Finding the Third Proportional to 176,738 and 265,683

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Solution

The third proportional to 176,738 and 265,683 is: 399,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,738 : 265,683 = 265,683 : x
  2. Step 2: Convert to fraction form
    176,738/265,683 = 265,683/x
  3. Step 3: Cross multiply
    176,738x = 265,683 × 265,683
  4. Step 4: Simplify right side
    176,738x = 70,587,456,489
  5. Step 5: Solve for x
    x = 70,587,456,489/176,738
  6. Step 6: Final answer
    x = 399,390.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.