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Finding the Third Proportional to 163,238 and 239,264

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Solution

The third proportional to 163,238 and 239,264 is: 350,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,238 : 239,264 = 239,264 : x
  2. Step 2: Convert to fraction form
    163,238/239,264 = 239,264/x
  3. Step 3: Cross multiply
    163,238x = 239,264 × 239,264
  4. Step 4: Simplify right side
    163,238x = 57,247,261,696
  5. Step 5: Solve for x
    x = 57,247,261,696/163,238
  6. Step 6: Final answer
    x = 350,698.13

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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.