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Finding the Third Proportional to 110,594 and 250,349

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Solution

The third proportional to 110,594 and 250,349 is: 566,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,594 : 250,349 = 250,349 : x
  2. Step 2: Convert to fraction form
    110,594/250,349 = 250,349/x
  3. Step 3: Cross multiply
    110,594x = 250,349 × 250,349
  4. Step 4: Simplify right side
    110,594x = 62,674,621,801
  5. Step 5: Solve for x
    x = 62,674,621,801/110,594
  6. Step 6: Final answer
    x = 566,709.06

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.