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Finding the Third Proportional to 210,048 and 313,700

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Solution

The third proportional to 210,048 and 313,700 is: 468,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,048 : 313,700 = 313,700 : x
  2. Step 2: Convert to fraction form
    210,048/313,700 = 313,700/x
  3. Step 3: Cross multiply
    210,048x = 313,700 × 313,700
  4. Step 4: Simplify right side
    210,048x = 98,407,690,000
  5. Step 5: Solve for x
    x = 98,407,690,000/210,048
  6. Step 6: Final answer
    x = 468,500.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.