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Finding the Third Proportional to 210,084 and 283,044

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Solution

The third proportional to 210,084 and 283,044 is: 381,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,084 : 283,044 = 283,044 : x
  2. Step 2: Convert to fraction form
    210,084/283,044 = 283,044/x
  3. Step 3: Cross multiply
    210,084x = 283,044 × 283,044
  4. Step 4: Simplify right side
    210,084x = 80,113,905,936
  5. Step 5: Solve for x
    x = 80,113,905,936/210,084
  6. Step 6: Final answer
    x = 381,342.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.