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Finding the Third Proportional to 156,972 and 336,084

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Solution

The third proportional to 156,972 and 336,084 is: 719,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 336,084 = 336,084 : x
  2. Step 2: Convert to fraction form
    156,972/336,084 = 336,084/x
  3. Step 3: Cross multiply
    156,972x = 336,084 × 336,084
  4. Step 4: Simplify right side
    156,972x = 112,952,455,056
  5. Step 5: Solve for x
    x = 112,952,455,056/156,972
  6. Step 6: Final answer
    x = 719,570.72

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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.