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Finding the Third Proportional to 210,539 and 304,752

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Solution

The third proportional to 210,539 and 304,752 is: 441,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,539 : 304,752 = 304,752 : x
  2. Step 2: Convert to fraction form
    210,539/304,752 = 304,752/x
  3. Step 3: Cross multiply
    210,539x = 304,752 × 304,752
  4. Step 4: Simplify right side
    210,539x = 92,873,781,504
  5. Step 5: Solve for x
    x = 92,873,781,504/210,539
  6. Step 6: Final answer
    x = 441,123.88

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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.