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Finding the Third Proportional to 141,500.67 and 210,324.09

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Solution

The third proportional to 141,500.67 and 210,324.09 is: 312,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,500.67 : 210,324.09 = 210,324.09 : x
  2. Step 2: Convert to fraction form
    141,500.67/210,324.09 = 210,324.09/x
  3. Step 3: Cross multiply
    141,500.67x = 210,324.09 × 210,324.09
  4. Step 4: Simplify right side
    141,500.67x = 44,236,224,411.76
  5. Step 5: Solve for x
    x = 44,236,224,411.76/141,500.67
  6. Step 6: Final answer
    x = 312,622.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.