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Finding the Third Proportional to 163,224 and 239,247

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Solution

The third proportional to 163,224 and 239,247 is: 350,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,224 : 239,247 = 239,247 : x
  2. Step 2: Convert to fraction form
    163,224/239,247 = 239,247/x
  3. Step 3: Cross multiply
    163,224x = 239,247 × 239,247
  4. Step 4: Simplify right side
    163,224x = 57,239,127,009
  5. Step 5: Solve for x
    x = 57,239,127,009/163,224
  6. Step 6: Final answer
    x = 350,678.37

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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.