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Finding the Third Proportional to 116,391 and 251,367

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Solution

The third proportional to 116,391 and 251,367 is: 542,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,391 : 251,367 = 251,367 : x
  2. Step 2: Convert to fraction form
    116,391/251,367 = 251,367/x
  3. Step 3: Cross multiply
    116,391x = 251,367 × 251,367
  4. Step 4: Simplify right side
    116,391x = 63,185,368,689
  5. Step 5: Solve for x
    x = 63,185,368,689/116,391
  6. Step 6: Final answer
    x = 542,871.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.