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Finding the Third Proportional to 156,080 and 330,736

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Solution

The third proportional to 156,080 and 330,736 is: 700,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,080 : 330,736 = 330,736 : x
  2. Step 2: Convert to fraction form
    156,080/330,736 = 330,736/x
  3. Step 3: Cross multiply
    156,080x = 330,736 × 330,736
  4. Step 4: Simplify right side
    156,080x = 109,386,301,696
  5. Step 5: Solve for x
    x = 109,386,301,696/156,080
  6. Step 6: Final answer
    x = 700,834.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.