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Finding the Third Proportional to 156,925 and 345,521

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Solution

The third proportional to 156,925 and 345,521 is: 760,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,925 : 345,521 = 345,521 : x
  2. Step 2: Convert to fraction form
    156,925/345,521 = 345,521/x
  3. Step 3: Cross multiply
    156,925x = 345,521 × 345,521
  4. Step 4: Simplify right side
    156,925x = 119,384,761,441
  5. Step 5: Solve for x
    x = 119,384,761,441/156,925
  6. Step 6: Final answer
    x = 760,775.92

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