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Finding the Third Proportional to 211,642 and 287,433

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Solution

The third proportional to 211,642 and 287,433 is: 390,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,642 : 287,433 = 287,433 : x
  2. Step 2: Convert to fraction form
    211,642/287,433 = 287,433/x
  3. Step 3: Cross multiply
    211,642x = 287,433 × 287,433
  4. Step 4: Simplify right side
    211,642x = 82,617,729,489
  5. Step 5: Solve for x
    x = 82,617,729,489/211,642
  6. Step 6: Final answer
    x = 390,365.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.