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Finding the Third Proportional to 176,721.75 and 386,430.75

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Solution

The third proportional to 176,721.75 and 386,430.75 is: 844,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,721.75 : 386,430.75 = 386,430.75 : x
  2. Step 2: Convert to fraction form
    176,721.75/386,430.75 = 386,430.75/x
  3. Step 3: Cross multiply
    176,721.75x = 386,430.75 × 386,430.75
  4. Step 4: Simplify right side
    176,721.75x = 149,328,724,545.56
  5. Step 5: Solve for x
    x = 149,328,724,545.56/176,721.75
  6. Step 6: Final answer
    x = 844,993.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.