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Finding the Third Proportional to 156,768 and 336,000

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Solution

The third proportional to 156,768 and 336,000 is: 720,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,768 : 336,000 = 336,000 : x
  2. Step 2: Convert to fraction form
    156,768/336,000 = 336,000/x
  3. Step 3: Cross multiply
    156,768x = 336,000 × 336,000
  4. Step 4: Simplify right side
    156,768x = 112,896,000,000
  5. Step 5: Solve for x
    x = 112,896,000,000/156,768
  6. Step 6: Final answer
    x = 720,146.97

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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.