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Finding the Third Proportional to 116,490 and 273,837

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Solution

The third proportional to 116,490 and 273,837 is: 643,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,490 : 273,837 = 273,837 : x
  2. Step 2: Convert to fraction form
    116,490/273,837 = 273,837/x
  3. Step 3: Cross multiply
    116,490x = 273,837 × 273,837
  4. Step 4: Simplify right side
    116,490x = 74,986,702,569
  5. Step 5: Solve for x
    x = 74,986,702,569/116,490
  6. Step 6: Final answer
    x = 643,717.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.