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Finding the Third Proportional to 156,913 and 345,497

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Solution

The third proportional to 156,913 and 345,497 is: 760,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,913 : 345,497 = 345,497 : x
  2. Step 2: Convert to fraction form
    156,913/345,497 = 345,497/x
  3. Step 3: Cross multiply
    156,913x = 345,497 × 345,497
  4. Step 4: Simplify right side
    156,913x = 119,368,177,009
  5. Step 5: Solve for x
    x = 119,368,177,009/156,913
  6. Step 6: Final answer
    x = 760,728.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.