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Finding the Third Proportional to 176,404.50 and 265,004.25

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Solution

The third proportional to 176,404.50 and 265,004.25 is: 398,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,404.50 : 265,004.25 = 265,004.25 : x
  2. Step 2: Convert to fraction form
    176,404.50/265,004.25 = 265,004.25/x
  3. Step 3: Cross multiply
    176,404.50x = 265,004.25 × 265,004.25
  4. Step 4: Simplify right side
    176,404.50x = 70,227,252,518.06
  5. Step 5: Solve for x
    x = 70,227,252,518.06/176,404.50
  6. Step 6: Final answer
    x = 398,103.52

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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.