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Finding the Third Proportional to 110,537 and 236,847

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Solution

The third proportional to 110,537 and 236,847 is: 507,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,537 : 236,847 = 236,847 : x
  2. Step 2: Convert to fraction form
    110,537/236,847 = 236,847/x
  3. Step 3: Cross multiply
    110,537x = 236,847 × 236,847
  4. Step 4: Simplify right side
    110,537x = 56,096,501,409
  5. Step 5: Solve for x
    x = 56,096,501,409/110,537
  6. Step 6: Final answer
    x = 507,490.72

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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.