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Finding the Third Proportional to 155,894 and 336,700

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Solution

The third proportional to 155,894 and 336,700 is: 727,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,894 : 336,700 = 336,700 : x
  2. Step 2: Convert to fraction form
    155,894/336,700 = 336,700/x
  3. Step 3: Cross multiply
    155,894x = 336,700 × 336,700
  4. Step 4: Simplify right side
    155,894x = 113,366,890,000
  5. Step 5: Solve for x
    x = 113,366,890,000/155,894
  6. Step 6: Final answer
    x = 727,204.96

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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.