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Finding the Third Proportional to 161,233.50 and 341,674.50

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Solution

The third proportional to 161,233.50 and 341,674.50 is: 724,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,233.50 : 341,674.50 = 341,674.50 : x
  2. Step 2: Convert to fraction form
    161,233.50/341,674.50 = 341,674.50/x
  3. Step 3: Cross multiply
    161,233.50x = 341,674.50 × 341,674.50
  4. Step 4: Simplify right side
    161,233.50x = 116,741,463,950.25
  5. Step 5: Solve for x
    x = 116,741,463,950.25/161,233.50
  6. Step 6: Final answer
    x = 724,052.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.