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Finding the Third Proportional to 236,023.03 and 355,994.16

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Solution

The third proportional to 236,023.03 and 355,994.16 is: 536,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,023.03 : 355,994.16 = 355,994.16 : x
  2. Step 2: Convert to fraction form
    236,023.03/355,994.16 = 355,994.16/x
  3. Step 3: Cross multiply
    236,023.03x = 355,994.16 × 355,994.16
  4. Step 4: Simplify right side
    236,023.03x = 126,731,839,284.15
  5. Step 5: Solve for x
    x = 126,731,839,284.15/236,023.03
  6. Step 6: Final answer
    x = 536,946.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.