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Finding the Third Proportional to 169,794.50 and 229,780

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Solution

The third proportional to 169,794.50 and 229,780 is: 310,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,794.50 : 229,780 = 229,780 : x
  2. Step 2: Convert to fraction form
    169,794.50/229,780 = 229,780/x
  3. Step 3: Cross multiply
    169,794.50x = 229,780 × 229,780
  4. Step 4: Simplify right side
    169,794.50x = 52,798,848,400
  5. Step 5: Solve for x
    x = 52,798,848,400/169,794.50
  6. Step 6: Final answer
    x = 310,957.35

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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.