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Finding the Third Proportional to 115,844 and 253,830

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Solution

The third proportional to 115,844 and 253,830 is: 556,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,844 : 253,830 = 253,830 : x
  2. Step 2: Convert to fraction form
    115,844/253,830 = 253,830/x
  3. Step 3: Cross multiply
    115,844x = 253,830 × 253,830
  4. Step 4: Simplify right side
    115,844x = 64,429,668,900
  5. Step 5: Solve for x
    x = 64,429,668,900/115,844
  6. Step 6: Final answer
    x = 556,176.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.