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Finding the Third Proportional to 161,870 and 239,664.50

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Solution

The third proportional to 161,870 and 239,664.50 is: 354,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,870 : 239,664.50 = 239,664.50 : x
  2. Step 2: Convert to fraction form
    161,870/239,664.50 = 239,664.50/x
  3. Step 3: Cross multiply
    161,870x = 239,664.50 × 239,664.50
  4. Step 4: Simplify right side
    161,870x = 57,439,072,560.25
  5. Step 5: Solve for x
    x = 57,439,072,560.25/161,870
  6. Step 6: Final answer
    x = 354,846.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.