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Finding the Third Proportional to 156,411 and 337,716

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Solution

The third proportional to 156,411 and 337,716 is: 729,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,411 : 337,716 = 337,716 : x
  2. Step 2: Convert to fraction form
    156,411/337,716 = 337,716/x
  3. Step 3: Cross multiply
    156,411x = 337,716 × 337,716
  4. Step 4: Simplify right side
    156,411x = 114,052,096,656
  5. Step 5: Solve for x
    x = 114,052,096,656/156,411
  6. Step 6: Final answer
    x = 729,182.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.