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Finding the Third Proportional to 110,536 and 236,830

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Solution

The third proportional to 110,536 and 236,830 is: 507,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,536 : 236,830 = 236,830 : x
  2. Step 2: Convert to fraction form
    110,536/236,830 = 236,830/x
  3. Step 3: Cross multiply
    110,536x = 236,830 × 236,830
  4. Step 4: Simplify right side
    110,536x = 56,088,448,900
  5. Step 5: Solve for x
    x = 56,088,448,900/110,536
  6. Step 6: Final answer
    x = 507,422.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.