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Finding the Third Proportional to 156,772 and 370,010

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Solution

The third proportional to 156,772 and 370,010 is: 873,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,772 : 370,010 = 370,010 : x
  2. Step 2: Convert to fraction form
    156,772/370,010 = 370,010/x
  3. Step 3: Cross multiply
    156,772x = 370,010 × 370,010
  4. Step 4: Simplify right side
    156,772x = 136,907,400,100
  5. Step 5: Solve for x
    x = 136,907,400,100/156,772
  6. Step 6: Final answer
    x = 873,289.87

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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.