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Finding the Third Proportional to 176,663.50 and 265,967.75

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Solution

The third proportional to 176,663.50 and 265,967.75 is: 400,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,663.50 : 265,967.75 = 265,967.75 : x
  2. Step 2: Convert to fraction form
    176,663.50/265,967.75 = 265,967.75/x
  3. Step 3: Cross multiply
    176,663.50x = 265,967.75 × 265,967.75
  4. Step 4: Simplify right side
    176,663.50x = 70,738,844,040.06
  5. Step 5: Solve for x
    x = 70,738,844,040.06/176,663.50
  6. Step 6: Final answer
    x = 400,415.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.