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Finding the Third Proportional to 161,487 and 231,158.81

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Solution

The third proportional to 161,487 and 231,158.81 is: 330,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,487 : 231,158.81 = 231,158.81 : x
  2. Step 2: Convert to fraction form
    161,487/231,158.81 = 231,158.81/x
  3. Step 3: Cross multiply
    161,487x = 231,158.81 × 231,158.81
  4. Step 4: Simplify right side
    161,487x = 53,434,396,596.41
  5. Step 5: Solve for x
    x = 53,434,396,596.41/161,487
  6. Step 6: Final answer
    x = 330,889.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.