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Finding the Third Proportional to 110,565 and 236,906.02

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Solution

The third proportional to 110,565 and 236,906.02 is: 507,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,565 : 236,906.02 = 236,906.02 : x
  2. Step 2: Convert to fraction form
    110,565/236,906.02 = 236,906.02/x
  3. Step 3: Cross multiply
    110,565x = 236,906.02 × 236,906.02
  4. Step 4: Simplify right side
    110,565x = 56,124,460,239.31
  5. Step 5: Solve for x
    x = 56,124,460,239.31/110,565
  6. Step 6: Final answer
    x = 507,615.07

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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.