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Finding the Third Proportional to 210,416 and 304,567

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Solution

The third proportional to 210,416 and 304,567 is: 440,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,416 : 304,567 = 304,567 : x
  2. Step 2: Convert to fraction form
    210,416/304,567 = 304,567/x
  3. Step 3: Cross multiply
    210,416x = 304,567 × 304,567
  4. Step 4: Simplify right side
    210,416x = 92,761,057,489
  5. Step 5: Solve for x
    x = 92,761,057,489/210,416
  6. Step 6: Final answer
    x = 440,846.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.