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Finding the Third Proportional to 216,719 and 287,563

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Solution

The third proportional to 216,719 and 287,563 is: 381,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,719 : 287,563 = 287,563 : x
  2. Step 2: Convert to fraction form
    216,719/287,563 = 287,563/x
  3. Step 3: Cross multiply
    216,719x = 287,563 × 287,563
  4. Step 4: Simplify right side
    216,719x = 82,692,478,969
  5. Step 5: Solve for x
    x = 82,692,478,969/216,719
  6. Step 6: Final answer
    x = 381,565.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.