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Finding the Third Proportional to 131,648.50 and 289,039

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Solution

The third proportional to 131,648.50 and 289,039 is: 634,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,648.50 : 289,039 = 289,039 : x
  2. Step 2: Convert to fraction form
    131,648.50/289,039 = 289,039/x
  3. Step 3: Cross multiply
    131,648.50x = 289,039 × 289,039
  4. Step 4: Simplify right side
    131,648.50x = 83,543,543,521
  5. Step 5: Solve for x
    x = 83,543,543,521/131,648.50
  6. Step 6: Final answer
    x = 634,595.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.