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Finding the Third Proportional to 236,808 and 362,260

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Solution

The third proportional to 236,808 and 362,260 is: 554,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,808 : 362,260 = 362,260 : x
  2. Step 2: Convert to fraction form
    236,808/362,260 = 362,260/x
  3. Step 3: Cross multiply
    236,808x = 362,260 × 362,260
  4. Step 4: Simplify right side
    236,808x = 131,232,307,600
  5. Step 5: Solve for x
    x = 131,232,307,600/236,808
  6. Step 6: Final answer
    x = 554,171.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.