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Finding the Third Proportional to 176,991.75 and 265,437

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Solution

The third proportional to 176,991.75 and 265,437 is: 398,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,991.75 : 265,437 = 265,437 : x
  2. Step 2: Convert to fraction form
    176,991.75/265,437 = 265,437/x
  3. Step 3: Cross multiply
    176,991.75x = 265,437 × 265,437
  4. Step 4: Simplify right side
    176,991.75x = 70,456,800,969
  5. Step 5: Solve for x
    x = 70,456,800,969/176,991.75
  6. Step 6: Final answer
    x = 398,079.58

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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.