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Finding the Third Proportional to 115,834 and 253,814

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Solution

The third proportional to 115,834 and 253,814 is: 556,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,834 : 253,814 = 253,814 : x
  2. Step 2: Convert to fraction form
    115,834/253,814 = 253,814/x
  3. Step 3: Cross multiply
    115,834x = 253,814 × 253,814
  4. Step 4: Simplify right side
    115,834x = 64,421,546,596
  5. Step 5: Solve for x
    x = 64,421,546,596/115,834
  6. Step 6: Final answer
    x = 556,154.04

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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.