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Finding the Third Proportional to 197,560 and 313,835

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Solution

The third proportional to 197,560 and 313,835 is: 498,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,560 : 313,835 = 313,835 : x
  2. Step 2: Convert to fraction form
    197,560/313,835 = 313,835/x
  3. Step 3: Cross multiply
    197,560x = 313,835 × 313,835
  4. Step 4: Simplify right side
    197,560x = 98,492,407,225
  5. Step 5: Solve for x
    x = 98,492,407,225/197,560
  6. Step 6: Final answer
    x = 498,544.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.