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Finding the Third Proportional to 211,988 and 287,863

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Solution

The third proportional to 211,988 and 287,863 is: 390,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,988 : 287,863 = 287,863 : x
  2. Step 2: Convert to fraction form
    211,988/287,863 = 287,863/x
  3. Step 3: Cross multiply
    211,988x = 287,863 × 287,863
  4. Step 4: Simplify right side
    211,988x = 82,865,106,769
  5. Step 5: Solve for x
    x = 82,865,106,769/211,988
  6. Step 6: Final answer
    x = 390,895.27

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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.