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Finding the Third Proportional to 116,444 and 251,482

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Solution

The third proportional to 116,444 and 251,482 is: 543,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,444 : 251,482 = 251,482 : x
  2. Step 2: Convert to fraction form
    116,444/251,482 = 251,482/x
  3. Step 3: Cross multiply
    116,444x = 251,482 × 251,482
  4. Step 4: Simplify right side
    116,444x = 63,243,196,324
  5. Step 5: Solve for x
    x = 63,243,196,324/116,444
  6. Step 6: Final answer
    x = 543,121.13

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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.