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Finding the Third Proportional to 117,617 and 250,406

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Solution

The third proportional to 117,617 and 250,406 is: 533,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,617 : 250,406 = 250,406 : x
  2. Step 2: Convert to fraction form
    117,617/250,406 = 250,406/x
  3. Step 3: Cross multiply
    117,617x = 250,406 × 250,406
  4. Step 4: Simplify right side
    117,617x = 62,703,164,836
  5. Step 5: Solve for x
    x = 62,703,164,836/117,617
  6. Step 6: Final answer
    x = 533,113.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.