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Finding the Third Proportional to 156,988 and 336,116

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Solution

The third proportional to 156,988 and 336,116 is: 719,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,988 : 336,116 = 336,116 : x
  2. Step 2: Convert to fraction form
    156,988/336,116 = 336,116/x
  3. Step 3: Cross multiply
    156,988x = 336,116 × 336,116
  4. Step 4: Simplify right side
    156,988x = 112,973,965,456
  5. Step 5: Solve for x
    x = 112,973,965,456/156,988
  6. Step 6: Final answer
    x = 719,634.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.