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Finding the Third Proportional to 176,404.50 and 265,004.16

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Solution

The third proportional to 176,404.50 and 265,004.16 is: 398,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,404.50 : 265,004.16 = 265,004.16 : x
  2. Step 2: Convert to fraction form
    176,404.50/265,004.16 = 265,004.16/x
  3. Step 3: Cross multiply
    176,404.50x = 265,004.16 × 265,004.16
  4. Step 4: Simplify right side
    176,404.50x = 70,227,202,829.77
  5. Step 5: Solve for x
    x = 70,227,202,829.77/176,404.50
  6. Step 6: Final answer
    x = 398,103.24

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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.