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Finding the Third Proportional to 177,564 and 239,236

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Solution

The third proportional to 177,564 and 239,236 is: 322,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,564 : 239,236 = 239,236 : x
  2. Step 2: Convert to fraction form
    177,564/239,236 = 239,236/x
  3. Step 3: Cross multiply
    177,564x = 239,236 × 239,236
  4. Step 4: Simplify right side
    177,564x = 57,233,863,696
  5. Step 5: Solve for x
    x = 57,233,863,696/177,564
  6. Step 6: Final answer
    x = 322,328.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.