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Finding the Third Proportional to 176,199.75 and 265,078.13

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Solution

The third proportional to 176,199.75 and 265,078.13 is: 398,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,199.75 : 265,078.13 = 265,078.13 : x
  2. Step 2: Convert to fraction form
    176,199.75/265,078.13 = 265,078.13/x
  3. Step 3: Cross multiply
    176,199.75x = 265,078.13 × 265,078.13
  4. Step 4: Simplify right side
    176,199.75x = 70,266,412,353.52
  5. Step 5: Solve for x
    x = 70,266,412,353.52/176,199.75
  6. Step 6: Final answer
    x = 398,788.38

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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.