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Finding the Third Proportional to 110,581 and 236,938

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Solution

The third proportional to 110,581 and 236,938 is: 507,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,581 : 236,938 = 236,938 : x
  2. Step 2: Convert to fraction form
    110,581/236,938 = 236,938/x
  3. Step 3: Cross multiply
    110,581x = 236,938 × 236,938
  4. Step 4: Simplify right side
    110,581x = 56,139,615,844
  5. Step 5: Solve for x
    x = 56,139,615,844/110,581
  6. Step 6: Final answer
    x = 507,678.68

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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.