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Finding the Third Proportional to 177,148.16 and 269,002.79

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Solution

The third proportional to 177,148.16 and 269,002.79 is: 408,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,148.16 : 269,002.79 = 269,002.79 : x
  2. Step 2: Convert to fraction form
    177,148.16/269,002.79 = 269,002.79/x
  3. Step 3: Cross multiply
    177,148.16x = 269,002.79 × 269,002.79
  4. Step 4: Simplify right side
    177,148.16x = 72,362,502,624.99
  5. Step 5: Solve for x
    x = 72,362,502,624.99/177,148.16
  6. Step 6: Final answer
    x = 408,485.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.