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Finding the Third Proportional to 163,318.78 and 384,255.14

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Solution

The third proportional to 163,318.78 and 384,255.14 is: 904,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,318.78 : 384,255.14 = 384,255.14 : x
  2. Step 2: Convert to fraction form
    163,318.78/384,255.14 = 384,255.14/x
  3. Step 3: Cross multiply
    163,318.78x = 384,255.14 × 384,255.14
  4. Step 4: Simplify right side
    163,318.78x = 147,652,013,096.74
  5. Step 5: Solve for x
    x = 147,652,013,096.74/163,318.78
  6. Step 6: Final answer
    x = 904,072.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.