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Finding the Third Proportional to 144,099 and 201,325.50

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Solution

The third proportional to 144,099 and 201,325.50 is: 281,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,099 : 201,325.50 = 201,325.50 : x
  2. Step 2: Convert to fraction form
    144,099/201,325.50 = 201,325.50/x
  3. Step 3: Cross multiply
    144,099x = 201,325.50 × 201,325.50
  4. Step 4: Simplify right side
    144,099x = 40,531,956,950.25
  5. Step 5: Solve for x
    x = 40,531,956,950.25/144,099
  6. Step 6: Final answer
    x = 281,278.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.