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Finding the Third Proportional to 176,595.75 and 270,199.13

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Solution

The third proportional to 176,595.75 and 270,199.13 is: 413,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,595.75 : 270,199.13 = 270,199.13 : x
  2. Step 2: Convert to fraction form
    176,595.75/270,199.13 = 270,199.13/x
  3. Step 3: Cross multiply
    176,595.75x = 270,199.13 × 270,199.13
  4. Step 4: Simplify right side
    176,595.75x = 73,007,567,150.77
  5. Step 5: Solve for x
    x = 73,007,567,150.77/176,595.75
  6. Step 6: Final answer
    x = 413,416.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.