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Finding the Third Proportional to 156,773 and 340,924

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Solution

The third proportional to 156,773 and 340,924 is: 741,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,773 : 340,924 = 340,924 : x
  2. Step 2: Convert to fraction form
    156,773/340,924 = 340,924/x
  3. Step 3: Cross multiply
    156,773x = 340,924 × 340,924
  4. Step 4: Simplify right side
    156,773x = 116,229,173,776
  5. Step 5: Solve for x
    x = 116,229,173,776/156,773
  6. Step 6: Final answer
    x = 741,385.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.