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Finding the Third Proportional to 163,043.91 and 214,401.94

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Solution

The third proportional to 163,043.91 and 214,401.94 is: 281,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,043.91 : 214,401.94 = 214,401.94 : x
  2. Step 2: Convert to fraction form
    163,043.91/214,401.94 = 214,401.94/x
  3. Step 3: Cross multiply
    163,043.91x = 214,401.94 × 214,401.94
  4. Step 4: Simplify right side
    163,043.91x = 45,968,190,803.75
  5. Step 5: Solve for x
    x = 45,968,190,803.75/163,043.91
  6. Step 6: Final answer
    x = 281,937.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.