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Finding the Third Proportional to 105,649.50 and 232,035

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Solution

The third proportional to 105,649.50 and 232,035 is: 509,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,649.50 : 232,035 = 232,035 : x
  2. Step 2: Convert to fraction form
    105,649.50/232,035 = 232,035/x
  3. Step 3: Cross multiply
    105,649.50x = 232,035 × 232,035
  4. Step 4: Simplify right side
    105,649.50x = 53,840,241,225
  5. Step 5: Solve for x
    x = 53,840,241,225/105,649.50
  6. Step 6: Final answer
    x = 509,611.89

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Why These Related Problems?

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