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Finding the Third Proportional to 156,774 and 370,015

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Solution

The third proportional to 156,774 and 370,015 is: 873,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,774 : 370,015 = 370,015 : x
  2. Step 2: Convert to fraction form
    156,774/370,015 = 370,015/x
  3. Step 3: Cross multiply
    156,774x = 370,015 × 370,015
  4. Step 4: Simplify right side
    156,774x = 136,911,100,225
  5. Step 5: Solve for x
    x = 136,911,100,225/156,774
  6. Step 6: Final answer
    x = 873,302.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.