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Finding the Third Proportional to 110,575 and 236,926

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Solution

The third proportional to 110,575 and 236,926 is: 507,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,575 : 236,926 = 236,926 : x
  2. Step 2: Convert to fraction form
    110,575/236,926 = 236,926/x
  3. Step 3: Cross multiply
    110,575x = 236,926 × 236,926
  4. Step 4: Simplify right side
    110,575x = 56,133,929,476
  5. Step 5: Solve for x
    x = 56,133,929,476/110,575
  6. Step 6: Final answer
    x = 507,654.80

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Why These Related Problems?

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