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Finding the Third Proportional to 156,080 and 335,833

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Solution

The third proportional to 156,080 and 335,833 is: 722,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,080 : 335,833 = 335,833 : x
  2. Step 2: Convert to fraction form
    156,080/335,833 = 335,833/x
  3. Step 3: Cross multiply
    156,080x = 335,833 × 335,833
  4. Step 4: Simplify right side
    156,080x = 112,783,803,889
  5. Step 5: Solve for x
    x = 112,783,803,889/156,080
  6. Step 6: Final answer
    x = 722,602.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.