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Finding the Third Proportional to 156,817 and 333,863

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Solution

The third proportional to 156,817 and 333,863 is: 710,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,817 : 333,863 = 333,863 : x
  2. Step 2: Convert to fraction form
    156,817/333,863 = 333,863/x
  3. Step 3: Cross multiply
    156,817x = 333,863 × 333,863
  4. Step 4: Simplify right side
    156,817x = 111,464,502,769
  5. Step 5: Solve for x
    x = 111,464,502,769/156,817
  6. Step 6: Final answer
    x = 710,793.49

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