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Finding the Third Proportional to 132,979 and 288,111

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Solution

The third proportional to 132,979 and 288,111 is: 624,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,979 : 288,111 = 288,111 : x
  2. Step 2: Convert to fraction form
    132,979/288,111 = 288,111/x
  3. Step 3: Cross multiply
    132,979x = 288,111 × 288,111
  4. Step 4: Simplify right side
    132,979x = 83,007,948,321
  5. Step 5: Solve for x
    x = 83,007,948,321/132,979
  6. Step 6: Final answer
    x = 624,218.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.