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Finding the Third Proportional to 156,630 and 333,780

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Solution

The third proportional to 156,630 and 333,780 is: 711,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,630 : 333,780 = 333,780 : x
  2. Step 2: Convert to fraction form
    156,630/333,780 = 333,780/x
  3. Step 3: Cross multiply
    156,630x = 333,780 × 333,780
  4. Step 4: Simplify right side
    156,630x = 111,409,088,400
  5. Step 5: Solve for x
    x = 111,409,088,400/156,630
  6. Step 6: Final answer
    x = 711,288.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.