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Finding the Third Proportional to 161,366 and 236,865

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Solution

The third proportional to 161,366 and 236,865 is: 347,688.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,366 : 236,865 = 236,865 : x
  2. Step 2: Convert to fraction form
    161,366/236,865 = 236,865/x
  3. Step 3: Cross multiply
    161,366x = 236,865 × 236,865
  4. Step 4: Simplify right side
    161,366x = 56,105,028,225
  5. Step 5: Solve for x
    x = 56,105,028,225/161,366
  6. Step 6: Final answer
    x = 347,688.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.