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Finding the Third Proportional to 177,663.50 and 273,065

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Solution

The third proportional to 177,663.50 and 273,065 is: 419,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,663.50 : 273,065 = 273,065 : x
  2. Step 2: Convert to fraction form
    177,663.50/273,065 = 273,065/x
  3. Step 3: Cross multiply
    177,663.50x = 273,065 × 273,065
  4. Step 4: Simplify right side
    177,663.50x = 74,564,494,225
  5. Step 5: Solve for x
    x = 74,564,494,225/177,663.50
  6. Step 6: Final answer
    x = 419,695.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.