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Finding the Third Proportional to 163,696 and 242,934

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Solution

The third proportional to 163,696 and 242,934 is: 360,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,696 : 242,934 = 242,934 : x
  2. Step 2: Convert to fraction form
    163,696/242,934 = 242,934/x
  3. Step 3: Cross multiply
    163,696x = 242,934 × 242,934
  4. Step 4: Simplify right side
    163,696x = 59,016,928,356
  5. Step 5: Solve for x
    x = 59,016,928,356/163,696
  6. Step 6: Final answer
    x = 360,527.61

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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.