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Finding the Third Proportional to 173,800.50 and 232,782.50

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Solution

The third proportional to 173,800.50 and 232,782.50 is: 311,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,800.50 : 232,782.50 = 232,782.50 : x
  2. Step 2: Convert to fraction form
    173,800.50/232,782.50 = 232,782.50/x
  3. Step 3: Cross multiply
    173,800.50x = 232,782.50 × 232,782.50
  4. Step 4: Simplify right side
    173,800.50x = 54,187,692,306.25
  5. Step 5: Solve for x
    x = 54,187,692,306.25/173,800.50
  6. Step 6: Final answer
    x = 311,780.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.