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Finding the Third Proportional to 178,320.75 and 277,003

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Solution

The third proportional to 178,320.75 and 277,003 is: 430,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,320.75 : 277,003 = 277,003 : x
  2. Step 2: Convert to fraction form
    178,320.75/277,003 = 277,003/x
  3. Step 3: Cross multiply
    178,320.75x = 277,003 × 277,003
  4. Step 4: Simplify right side
    178,320.75x = 76,730,662,009
  5. Step 5: Solve for x
    x = 76,730,662,009/178,320.75
  6. Step 6: Final answer
    x = 430,295.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.